You have every reason to feel uncomfortable if he says that he doesn't really believe in his muslim religion. That will be put to the test by his peers and the fact that as a woman; you are effectively inferior status wise in that religion; which calls for total subservience as a wife and a mother.
Be very careful and only continue if you are prepared to give up your personal freedom and those of your children if you have them and you seperate. He will be ultimately be instructed by others, irrespective of what you think or believe as a non muslim or as they say... an infidel.
Why would you pursue a relationship that is based on a one sided level of equality like that in the 21st Century?