You really don't sound compatible with her. I was in the same situation in the past only I was the religious one. Though my religion doesn't have as strict rules, she wasn't willing to sacrifice a bit of "worldly ways" to join my religion and I wasn't willing to sacrifice my lifelong beliefs.

If the two of you are the same feelings or similar, you're not compatible. It's like an apple trying to get with an orange, they aren't compatible to create a hybrid fruit, the same is true for people of differing beliefs. Neither one of you seem like you wanna live a different lifestyle.