I don't really drink - girl wants to meet for "drinks" what to do? NEED ADVICE!!!!
Girls want the same thing guys want...honesty and confidence. If you don't drink alcohol, order what you normally drink and don't think a thing about it. If it comes up in conversation, tell her it's not really your gig and move on, tell an embarrassing story about a time that you did get drunk, whatever. Take pride in yourself and how you treat your body and the decisions you make, and stop second-guessing yourself. She'll be impressed by your faith in yourself and your independence way more than she'll be impressed by how much alcohol you can consume or your ability to follow the pack.
Think about it like this: We all love Mopar because they're the best, and they're the best because they do what they want to do, not what everyone else does, right? So, do your own thing. You will not regret it.
Besides, all my lady friends like a man that does not drink much. You're much more stable, reliable, and a lot less likely to do regrettable things later. If you can enjoy the night without booze, she will probably respect you more for it.
You need to be upfront with yourself as well as her. It'd be a shame to build a relationship on false premise.