Aside from the shin gesture, nothing distinct, although Nimoy claims judaism shaped his influences on his character. The show's creator made it clear that he wanted the show to be non-religious.
Although Roddenberry was raised as a Southern Baptist, he instead
considered himself a humanist and agnostic. He saw religion as the
cause of many wars and human suffering. Brannon Braga has said
that Roddenberry made it known to the writers of Star Trek and Star
Trek: The Next Generation that religion and mystical thinking were not
to be included, and that in Roddenberry's vision of Earth's future,
everyone was an atheist and better for it. However, Roddenberry
was clearly not punctilious in this regard, and some religious
references exist in various episodes of both series under his watch.
He didn't keep the show completely clear of it, though. For example, from "Who Mourns For Adonais?"
Kirk says: "Scotty doesn't believe in gods" and also "Man has no need for gods.
We find the one quite sufficient".
And, as another example, the chapel [a curious permanent area on the ship for non-religious crew] from "Balance of Terror":