Am I psychotic or is this normal?

[PiKA2001]

So I'm dating this girl for about two months now that i'm really into. I'm always thinking about her when I'm not with her, texting, calling, etc. I'm pretty sure she fancies me too ( I know for a fact she loves the attention I give her) but the problem is I don't really "like" her. We have nothing in common, are completely different in attitude and lifestyle, share none of the same ambitions and so forth. A lot of times we have trouble carrying out a decent conversation with each other, but it's the things left unsaid that draws me in. I feel so comfortable and at ease when she's by my side, like we connect on some level that can't be explained. She's asked me before why I like her, and to be honest I had a hard time coming up with things other than the fact that I love the way I feel when I'm with her. I've never been in a relationship like this one before and almost feel like it may be unhealthy in some way, or maybe I've just been single too long and don't recognize a good thing when I see it.