If you've ever read "Gods Letter" that Einstein wrote in 1954 about religion it may shed some light onto conservative outlook about God. In part it said; "The word God is for me nothing more than the expression and product of human weakness, the Bible a collection of honorable, but still purely primitive, legends which are nevertheless pretty childish". And after reading about what the church does to children in the name of God, I would trust an Atheist far more than a conservative or anyone else that grovels daily to a so-called "invisible man". No wonder we have women being sexually assaulted by men. Men made God a man!
I’m not sure about your inference that a conservative is the opposite of an atheist. Is then a liberal the opposite of a religious person? Is Methodist Hillary Clinton a conservative?
Einstein made various and conflicting statements about his religious sentiments. We have this:
“Try and penetrate with our limited means the secrets of nature and you will find that, behind all the discernible concatenations, there remains something subtle, intangible and inexplicable. Veneration for this force beyond anything that we can comprehend is my religion. To that extent I am, in point of fact, religious.”
“I believe in Spinoza's God, Who reveals Himself in the lawful harmony of the world, not in a God Who concerns Himself with the fate and the doings of mankind.”
I think that throughout his life he may have grown and also became more bold in his statements.
He also said: " We're too puny to understand the workings of the universe". And he's right. We may not really exist at all.