Honestly dude, just take a break from constantly studying religion and whatnot.
In the past I've burnt myself out several times in that manner... most notably during a pakistani "nikah" where we all had to pray whilst the imam recited some bullshit. Btw, I have anger issues so if I can manage to control my anxiety/rage I'm sure that you can.
I know that it's hard to adopt an apathetic approach when you have to operate under a daily framework which is antithetical to your views. Treat your time in this Christian environment as a learning experience- try to soak in their arguments so that you can better understand their cognition. You just have to grit your teeth and get through it. I do recommend that you find some hobbies, exercise is always a great one. Personally, I find my punch bag to be very therapeutic when I'm in need of a break.
There is plenty of brain taxing stuff which doesn't involve theology. Maybe try learning a new language or skill so that your thoughts aren't centered around one topic.
If you want to continue with studying religion, I recommend that you begin reading the Philosophy of religion. You may be surprised to know that some of the better critiques of arguments in favour of God actually come from Christians.
Here is one example:
http://spot.colorado.edu/~morristo/wes2craig1.pdfHowever, these are just things that work(ed) for me, they may or may not help you. To start with, I strongly suggest that you take a hiatus and dissociate from heavy contemplation about theism and find something else to do.
Also, taking a break from the internet in general (except for work related purposes) has always helped me.