If you honestly believe life begins at conception and should be protected, you believe the civil rights issue at hand is the right to life of the unborn, which may, in your moral estimation, supersede a woman's reproductive rights.

A person acting against that belief in order to satisfy your own personal beliefs would be a hypocrite, no?

My overall point is there is no conflict in accepting his good faith position that you agree with while rejecting his other good faith position you don't agree with.