Not quite.  I no longer crash in the Heaven benchmark, but I'm still experiencing the crash in Shogun 2 and Company of Heroes 2.  He made me aware of the many problems I have with my computer at the moment.

Well I'm almost positive it's my GPU.  I reformatted and the problem is still occurring at the settings recommended by maniac.  Disabling sound does not help.
 
I switched out my 670 for my 460 and the game works fine.  Played almost 3 hours without a single crash.

Well I received my RMA 670 today and installed it as well as three additional case fans.  I turn on the computer and everything powers up as normal EXCEPT....my monitor .
 
I shut it off and then switch outputs on the card and try again.  I breathed a sigh of relief when the monitor turned on then swore like a sailor when it shut off right after the Windows loading screen.  It gave me the "DVI NO SIGNAL" monitor message.  I tried switching PCI-E connectors on my PSU and no luck.  On one of my attempts I was able to get to the desktop and install the drivers and then restarted when I was prompted.  The monitor refused to turn on thereafter.
 
I eventually threw in my 460 again and what do you know, runs like a charm.
 
At this point I'm thinking there's two possibilities here:
A) I received another faulty card (not likely)
B) My PSU is dying and buckling under the pressure of the added power the 670 requires (more likely)
 
I've already purchased a CORSAIR HX750 which is a nice little upgrade on my 4 year old TX750.  I figure it's about time for a new PSU regardless if it is the cause of the issue, but let's hope that's the case.
 
This whole thing has been a bit of a nightmare as I've spent quite a bit of time and money on my PC recently and I would like it to function as it should for a change .

I hope that takes care it bud...you've been working on this quite awhile now.

When everything worked with your 460 installed, were you using a VGA cable or DVI cable?

Found a dual link DVI cable at Office Depot...for $72.00 .  They didn't have them at my local Best Buy.  I'll just have to get it online.
 
I tried an HDMI cable my roommate had and that also failed.  Just like the DVI cable....no signal is recognized.
 
This problem defies all logic.

I'd be very surprised if it was the motherboard.  It's fairly new (about a year old) and runs my 460 totally fine.
 
On the other hand I'd also be surprised if it was my card considering I already sent in my first defective card.  What are the chances of them sending me another defective card?  I had some problems with an older GPU and had to RMA it not once but TWICE.  I thought I was pretty unlucky back then, but for me to receive two defective cards on two separate occasions is absurd.

I tried it on my old monitor....same problem.

I don't have access to another system to throw it in at the moment. I'll try it on a tv on Sunday.

I am sure you guys are completely sick of me already, but I just found something interesting.  I can trick NVIDIA control panel into thinking I'm connected digitally by launching the computer with just the DVI cable and then hot swapping the VGA cable after I hear the Windows start-up noise.
 
I then noticed that the recommended resolution in the control panel is 2048 x 1536 .  This was also what the resolution was set to in the control panel before I changed it to my monitor's native resolution of 1920 x 1080.   I would need a dual DVI-D cable to even display 2048 x 1536 so I still need get my hands on one.
 
The question is, why is the NVIDIA control panel defaulting to such a high resolution?

Check this link out: http://blog.komeil.com/2008/06/fixing-edid-dvi-monitors-no-signal.html
 
It's dealing with EDID corruption and I have ALL the symptoms of it.  The tell-tale sign is when Windows lists your monitor as "Generic non-PnP Monitor".  This is exactly what Windows is showing my monitor as.  When I have my 460 in, it lists my monitor as "VW123"(it's not 123, I just can't remember the numbers).   People that have this problem have monitors in which VGA works fine, but DVI gives them no display.  This is exactly my problem.
 
At least I'm 99% sure of what the problem is now, but unfortunately this is NOT an easy fix.  I guess I'll be giving this a shot over the next few days if I have time.

Well, I just RMAd the second card after I determined that my EDID appeared to be fine (I was able to read what it was telling my montior using several different pieces of software).  The fact that the 670 refuses to get a signal on my other monitor as well as a TV via HDMI also hints that the EDID is not the issue.
 
I did notice something peculiar happen when I replaced my 670 with the 460 this time around.  I had a side case fan that I had installed a month ago along with two top case fans.  I installed these when I first installed the RMA 670 and when I booted up the machine I noticed that the side fan was not spinning, but the top two were.  The LED was working, but the fan would not spin.  I tried to connect in all of my motherboard fan connectors and finally connected it directly to the PSU.  Nothing worked.  I put in my 460 last night and booted it up.  I then noticed that the side fan was spinning for the first time.
 
How on earth would my 670 be preventing my side fan from spinning?  The only possible thing I can think of was if my PSU didn't have enough power for my system, but my corsair 750W gold PSU is much more than enough.
 
I can't help but think that this is somehow related to the problems I've been having.  Let's hope that I just got a bad card.

Right now it is plugged directly into the PSU, but I tried all the motherboard connectors on the mobo when the 670 was in and none of them worked.  I even tried the connectors on the mobo that my other case fans worked on and that still didn't work.  I chalked it up to a bad fan until I saw it spinning with my 460 in.
 
I don't have the 670 anymore so I can't throw it back in just to make sure, but this is the first time that the fan has actually worked so chances are that it's not a fluke.  It doesn't make any sense though.

My system works perfectly when I have the 460 in.  The ONLY time my computer starts acting up is when the 670 is in.
 
If I receive this 670 and it has the same problem, then yes, my next step would be to replace the mobo.  I REALLY hope it doesn't come to that.
 
Furthermore, the problem I detailed with my first 670 has nothing to do with the problem I had with my second one.  The first problem is actually widespread among newer NVIDIA cards.  I've researched both problems extensively now and I was unable to find any correlation between the two, hence the reason for my second RMA.  I was really trying to look at everything else but my GPU, but unfortunately I didn't have another system capable of running it to test.
 
No matter what I did, my computer would not work correctly with the second 670 I received.

I don't know either.  That's why I'm betting on it being a faulty GPU.

The EVGA rep that approved my second RMA was pretty skeptical that it was my GPU as he said my first RMA passed all of their testing.  If my third one comes back faulty I really have no other solution than switching out the mobo.

SUCCESS!
 
My third 670 arrived from RMA today and it WORKS.  I feel a huge weight lift off my shoulders now that this is over.
 
I'm going to do a little theorizing here.  I believe that the problem with my first card was a driver related issue, specifically with the 320.xx drivers because the issue occurred shortly after installing them.  The fact that the issue was still present AFTER I reformatted suggests that the drivers may have destroyed my card.  I've seen a lot of debate about whether the 320 drivers can actually destroy a GPU, but this would explain why my first card went bad.  I know I'm not the only person who has had problems with those drivers.
 
As for the second card, well, let's just say luck was not on my side.  It was DOA.  Unfortunately, I was thinking that it had to be anything else besides my GPU because how unlikely was it that I received another faulty card?  Well I'll be a son of a gun.
 
Thanks for all the help guys.  Time to put the frustration behind me