It sounds like you are stuck between two opposing forces. You have to let him know that your faith is important to you and he can't have expectations that you will abandon that. He has to meet you in the middle. You won't abandon your faith as he won't abandon his beliefs. If he doesn't respect that then he doesn't respect you. As far as your parents, ask them to take a baby step in the direction of compromise. They don't have to respect his beliefs as much as respect the relationship. If both take a baby step forward then there will at least be some progress. If you are arguing with him then there are some problems there too. You have to have enough skills together to discuss issues and compromise. I can see how he thinks you are ashamed. It isn't intentional. You have different belief system, so you compensate for that by avoiding. This comes with having less in common. You have to decide if being in this relationship is worth being in this relationship as does some other problems. Decide how bad you want a relationship with someone who causes this conflict. How bad do you want this relationship - bad enough to have these problems with your family
If this has been helpful press accept. Sorry for the delay.