I cantada point out where I've argued that merely that I've said they are different. I will argue it if you like.
You are arguing that history doesn't do God, it's naturalistic but science unlike history is 100% empirical in a physicalist sense.
History deals with human motivations.
Both the chosen directions for science and history come from differing aspects of naturalism. In history God cannot be the final ultimate agency but Man shares that role with chance and geography and in science it's the laws of nature.
History is a blend of philosophy and methodology. So where as you can be a scientist and avoid philosophy, you can't escape it in History. Unless you are arguing that history should only deal with where and in what state matter and energy we're in at a certain time and place.
That's my view but as I've said, I'm prepared to be educated by "The Professionals".
History certainly deals with what different people believe, how various religious beliefs are enacted, the roles that religion has had in politics, power and social conventions and, of course, how those aspects change over time and place and those changes are also within the scope of historical study.
For example, the current role religion plays in US politics differs from its role in UK politics or that in certain areas (like where I am) the influence of Christianity is waning (as confirmed by the last census in Scotland). All of these are within the scope of history and the study of them is methodologically naturalistic so that, for instance, how religion operated in ancient Egypt can be studied without reference to whether or not Ra really did exist.
What is out of scope for history are the study of specific metaphysical and/or non-naturalistic claims, such as Gods or someone miraculously not staying dead, since those sorts of claims would require a method of study suited to claimed non-naturalistic phenomena and that, dear boy, doesn't exist.
It's important to avoid the trap of thinking that because some people believed in a supernatural 'x' that, therefore, this 'x' must be true. If that were the case then the history of religion would become a series of
ad pops