My girlfriend is Jewish. There’s no way I would raise my children Jewish since a majority of American Jews actually have no faith. When seventy percent of your religion supports a President that is hostile to your homeland, you’ve really gone off the deep end. One day, I’ll teach my children about the rich history of the Jewish people, but I see no reason why I would ever allow them to be affiliated with American Judaism.
I totally understand. When I started my journey to understand the Jewish Jesus, I was so rewarded. The Old Testament, the Torah are beautiful love stories.
If you understand Judaism and want your kids to be that way, fine. Being Jewish, bound to the TANACH (Bible) requires a tremendous amount of effort on a daily basis and for the vast majority of ignorant and lazy Jews, it's just too much.
If you marry your Jewish girlfriend, the kids will be Jewish according to Jewish law (Halacha). If you raise them that way or not is almost irrelevant, they're Jews, ignorant maybe, but still Jews.
Please do her a favor. Do NOT marry her.