I know for a fact I can run this game -- I should be able to run it on high settings atleast. My System Specs are :

Windows 7 64 bit
AMD FX™-4100 Quad Core Processor (@3.6GHz)
8192 MB RAM
500 GB HDD
AMD Radeon HD 6670

Even if I disable all shadows and turn off all anti aliasing and keep only high texture models, its choppy. Can anyone help me out here?

Because your GPU is to low end, I think. Try updating it's drivers see if that helps.

edit: This guy seems to run it fine and he has the same GPU: http://www.youtube.com/watch?v=OXRjcfqpDEk

So I think it's a driver problem, so try updating them.

Actually, an HD 6670 is right in the middle. Not bad, not particularly good. One version is much better than the other (higher quality memory). Neither one can do the High Quality, nor High settings for screen resolution. It's only got 128 bits worth of memory system bandwidth, so at game speeds, it will max out at 256 MBs of VRAM, no matter how much is added onto it.

In momemtary bursts, it can sometimes swap 256 MBs back and forth, for a total of 512 MBs worth.

Make sure the screen resolution is set to a suitable (medium) density, and compare how it works with various graphics drivers. There have been a couple of "dud" drivers from AMD this year when used for Skyrim.

P. S. (edit 2 1/2 hours later) Here are both of them. The "slowest" HD 6670 is on the left. The faster one is on the right:

http://www.gpureview.com/show_cards.php?card1=656&card2=654