Benjamin Franklin is usually considered Deist, although when he was young he wanted to be a minister like Cotton Mather, was close friends with several evangelists and gave them lots of money. He was not convinced that they were right about god, but respected them and believed that acting as if they were right was better for society. As a young adult he had fallen away from Christianity and became practically an atheist for a while, but as he aged he came closer and closer to theism.
Thomas Jefferson was often considered a Deist, but from what I've heard he was really more of a Unitarian. He called himself a Christian on several occasions, but did not believe that Jesus was divine. He actually had his own version of the Bible published, removing most of the miracles and claims of Christ's divinity. When he was elected president many people feared that he was an atheist, and many even buried their bibles in fear that he would ban them.
Apart from these two though, essentially all of them were were strongly Christian (of various denominations, a majority were Anglican but there were Congregationalists, Presbyterians, Methodists, and a Quaker among them too). Almost all of them considered the term Deist to he highly offensive, but believed that he was the author of liberty, and that the state had a responsibility to protect, not infringe upon, that liberty (as Nikis-Knight said)
The definition of "Proof" is a problem here. Originally the word only meant defense (c.f., Fireproof, waterproof), not an "absolute proof." One can come up with several possible defenses of god's existence, but it is impossible to fully "prove" anything. All proofs must rely on assumptions. Descartes famously claimed that no one can logically prove god exists because without the a priori assumption that he exists and created us with the capacity of reason, the validity of logic itself cannot be established.
