I am glad that I guessed correctly you do not understand the Buddhist
view. Otherwise, putting such a question is like asking "Does a gdo
has a soul?" to a Christian, putting him into a difficult position.
A theist is a person who believe that salvation or eternal bliss can
be obtained through external divine source. If you do, the next
question is are you mono (one god) or ploy (many gods).
A Buddhist believes that there are beings living, eating, sleeping,
jumping, hopping, singing(!), dancing (and so on) in other 'higher
planes of existence' as a result of their past kamma. If you call
that polytheism, so be it.
Among these beings, some have been there longer, many thousands of
years. Some could be there only since yesterday. The cute part about
these beings is they are not born of the womb. Brahma is the oldest
around in one of the plane. Because he does not have a mother, he
thought he was self-created. And he thought he has created the lower
planes (which he can observe from his own). What he never thought is
that he is also in one of the planes of existence, Samsara, and there
are planes higher than the one he lives, which he just can't see. The
next higher planes are the Jhana :-) planes.
According to the Dhamma, these beings are no different from us
humans. The similarity is that all has the same potential for
enlightenment/nibbana.
As for your talk about "Buddhist countries", I only want you to know
that historically no such entities exist, except for convenience of
study and comparison. That's all I will write, and I wish you the
best in your search for Truth.