Are Deists more like theists or Atheist?

[Mudhammam]

Epicurus is not on the list at Wikipedia, so I am unsure what you intend with that.

Anaxagoras is. I saw Aristotle and Cicero on another list too but it also included Hume who I think would more correctly labeled an agnostic.

Regardless, there are serious problems with trying to determine the religious views of people in the past.  Epicurus lived in a time and place where one could be executed for expressing atheism, so the fact that he did not express atheism and specifically said he believed in the gods means nothing whatsoever about his beliefs.

I'm not in the business of making statements based on information that doesn't exist (though you can find many here who are!) so I'm only speaking in reference to what the writings do say, not what they don't say or what they might have said if circumstances were otherwise. People can make of them what they will. His writings are consistently deistic; asking whether or not those were his true feelings is an exercise of futility.

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Do deists believe objective morality is 'founded' on God?

It doesn't necessarily follow but *if* you think that God is something like a metaphysical entity, such as divine reason, that exists objectively but has no share in physical attributes, it would seem to coincide with, or at a minimal allow, belief in objective goods. Sort of like Paley's utilitarianism. Though not a deist, he grounded objective morality in God's nature and thought reason, following Bentham's ethical theory, could discover what those objective goods are.