"We want people of faith, but we don't want them making decisions based on their faith."

Somebody is in deep denial.

A Marxist will make decisions based on his Marxism, even on things unrelated to Marxism; he might not wear tennis shoes because capitalists made them.

An animist will also make decisions based on animism, but unrelated to animism, like not eating 'sacred' animals.

And Christians - specificially Catholics in this instance, but "people of faith" always refers to Christians - will make decisions based on Christianity that are unrelated to Christianity per se, like not voting for abortion.