Faith isn't owned by the conservative left, any more than atheism is owned by the liberal left/
Both exist.
I know many conservative athiests, as well as many liberal christians. I am liberal christian, so are most of my friends. In fact the New Democrat premier in Saskatchewan, Canada, was a United Church Minister, he is both a socialist and a christian.
Most athiest I know don't talk about being an athiest unless religion is brought up. The same applies to being egonistic, gay, straight, christian, muslim. These conversations are out of the norm unless you seek them out.