It sounds like you wouldnt even want to be a part of the group anways. Dont try to join something that you would have responsibilities and stuff for. Because then if you are only doing it to meet people it will just become a drag. Look for less formal groups. I dont know how much their is at your school. You say you are religious so why dont you join a bible study group or something.
You dont need to join a SOCIAL organization to socialize. Anything that involves PEOPLE will force you to socialize. Hell, just forming study groups in your classes will help you meet people. And dont feel pressured to study with the cute girls either. Just get friendly with the cute guys, becuase they likely have cute girls for friends. The more people you know, the more people you can get introduced to.
Oh yeah, and lighten up. Dont take everything so seriously.