You accepting or adhering to biblical/Christian values .

You accepting or adhering to biblical/Christian values will not violate your Islamic/Muslim principles.

You accepting or adhering to biblical/Christian values will not violate your Islamic/Muslim principles.

What are your thoughts?

You accepting or adhering to the values of Ancient Greek philosophy will not violate your biblical/Christian principles. 

Nice.

It absolutely will. Not sure all the throwing gays off roof tops, randomly raping and killing Israelis and them denying Jeus as God and simultaneously his own som, ir reconsiliable with Christianity 

While the two religions are theologically incompatible due to one openly claiming the other does not fully and properly represent God. (as well as, like Wylted said, that in Islam we deny that Jesus was the son of God or is God) I would say I agree with you that, as far as values and principles are concerned, you're not really in danger of violating the principles of your religion as a Muslim adhering to Christian values or vice versa.

If I were in the presence of true proper God fearing Christians, I do not believe I would be in danger of betraying my principles or the principles of my faith by behaving under their moral standards. And I believe the same would be true with the roles reversed as well.

Would living according to Orthodox Judaism also be compatible with Muslim principles?

I think so? It comes from the same roots, so I imagine there's a lot of overlap between what's kosher and what's halal.

Teach your kids nonsense and they will grow up believing in nonsense.

Is how it works.