About a potential serious relationship.?

Ok, so i love this girl. Alot. We've been together for well over a year now and we've talked about marriage and kids. We have our different values and such and i am able to look past those. Tonight, though, we had a lengthy conversation on things we disagreed and it hit me all of a sudden. It being that i realized i didn't want my kids to be raised by someone with her values. I can look past them, but they're complete opposite to mine and i just don't want my children to have them. Thing is I'm rather young. She's a great gal, perhaps the woman of a life time, but i also feel that after some sulking and depression of breaking up, i could probably find another girl just as good (and more agreeable) as her with some time. So basically i am asking if you think i should stick it out with her or break it off. I don't want to just ignore this because i know that ultimately i don't want her to be the mother of my children.