Damn, don't kill the magic, bro.
But seriously, I'm in a similar situation, and I know that such a decision should not be made based solely on your SO's parents' religious beliefs. However, do realize that if you two move in together, her parents will see you as the thing that caused a rift in their relationship. This will be especially important in your decision if they have a good, strong relationship. It's not a place for YOU to make a decision, it's a decision between you and your girlfriend with at least some respect and consideration to your respective parents wishes.
The void of not having her parents' support might or might not damage your relationship with your girlfriend. People can tell you how you're old enough and financially capable enough to make your own decisions ITT, but is your gf emotionally matured enough to deal with the stress and burden of disappointing her parents? You have to know her and know how she will react (what she tells you might not be the truth). If she's strong enough to go through with it, fine. If not, you won't have a gf for long anyway.
Also, how will you be able to study with your gf around all the time? And. How long have you been together (sorry if this has been answered). I'll be pissed if it's anything less than a year.