Respect, and all other forms of interaction between humans, should not differ depending on the religion of said persons.
Would you respect a black man?
Would you respect someone from Germany?
Would you respect someone with green eyes?
Would you respect someone born out of wedlock?
Judging someone by the categories that they fit in is very unfair.
I grew up in a rich part of a money based community, where MOST were snobs and judgmental. By judging me by one category I fit in, you would say that I am selfish, snobbish, and judgmental, when I am none of these things. By saying that all of the people of Islam are terrorists, or saying that all Christians are chauvinists, you are judging someone by a category, and not off of who the person is. Respect is earned from different characteristics than beliefs.
If you are judging your respect off of religion, by saying that you only respect Christians, you are, in fact, falling into the common Christian trait of being a chauvinist.