And I always advise caution in looking too broadly for "agreement on certain points." To use a religious analogy, the devil probably agrees that ice cream tastes good, but most religious people see clearly that it is not a good idea to look for areas in which the devil agrees with you. I don't think Epicurus was any less rigorous in seeing the folly of such an approach to philosophy specifically or life in general. When an opposing philosophy or religion happens to agree with one's interpretation of one's own philosophy that is more a warning sign to you that you may not be thinking clearly than a good thing. If I get a direct message from the Pope of Rome or the Rabbi of Jerusalem or the Ayatollah or the Dalai Lama that the sun is going to rise in the east tomorrow that's more of a reason to look up at the sky and make sure nothing has changed than it is to feel confident about it.
I would guess here that the issue has to do with Platonic philosophy, and most of the time religious ideas are built on ideas of striving for absolution perfection. So the word of caution is to be wary when you are agreeing with anything that holds "idols" of perfection, and especially those which have nothing to do with actual embodied life experiences.