ames,
that was an amazing post above!
moish,
the fact that you value davening so much that you don’t feel right doing it if you feel like you’re doing something wrong shows that your heart is in the right place. However, davening is always a mitzvah and Hashem is always happy to hear from you, even if you don’t have kavana and yes, even if you’re out with a girl. If we can’t do something in the best way possible it doesn’t mean we shouldn’t do it at all.
I’m not saying that I think you’re a bad guy if you sometimes miss davening, you definitely aren’t, I’m just saying that you shouldn’t feel like there is anything wrong with davening when you’re totally not in the mood and can’t get your heart into it.