I voted "No" but...
Broadly speaking, I like the gods existing overall as Forces, generally following like the Proto-Indo-European mythology
en.wikipedia.org
These are the base Forces that "gods" get filtered through. Each species/culture has things that they value more than others and it's the process of valuing and worshiping these things, that a "god" comes into existence. Gods are either avatars of the Force, or will actually cause a being to manifest.
So, 4 different cultures can all worship the Dawn Mother, however each Dawn Mother is likely to vary, depending on the species/culture in question. Yes, this can result in oddities like a god being in opposition to itself.
shrug
I find this approach allows me the greatest flexibility in terms of having universal forces, while still allowing for the tendency we (humans) have for investing phenomena with personality. It also allows for more complex stories of culture clash and competition. And it also provides an option for having someone become Elevated to godhood, as well as having little half deities running around, without throwing things too far out of whack