Like Buster said it will depend on your expectations and where you want your settings. On the opening launch screen, there are video settings there (in addition to the ones IN the game on the control panel). Buster was referring to one of the settings there regarding 1024, 2048, and 4096 just to be very specific. Setting it to 1024, a lower setting, and then using trial/error with the IN game settings on the clipboard, IMO, will allow you to experience the beta very well in terms of performance. I have a few home theater PCs, one on each TV in my homes, all older PCs, none as good as what you currently are using, and I've been able to get the beta performing pretty well on 2 of them, by doing the above. You may be able to move the out of game setting up higher, to 2048, depending on what you see and what you wish to use for in game settings. Again, trial and error for a half hour will give you a good idea.
So, it comes down to how you want to play the new game IMO - if you absolutely want every feature of the rendering engine at max and working, then to answer you question, no, you probably don't have a card quite good enough for that. However, if you're willing to make some compromises here and there, you'll end up with the game looking almost as good as full blast, but still very playable in terms of FPS, at least IMO. Bottom line is that there is no reason that machine won't be able to work for you with a bit of tweaking of settings.