Hinduism is, if anything, a heterogenic "mixture" of beliefs, angels, interpretations and focus.
As is of course most other believs.
(Yes, "mixture" is not the right word to use, i know this... don't spam me)
It IS Polyteistic!
It is also (to some or many of it's believers) as you say; not focused on the gods, but instead on the existens of all as one, or the soul of souls...
(Brahma was it? ...i don't readily remember)
Some hindus are ultra-pacifists and some (really, really) aren't... some really belives in the various gods, and some don't.
India's a huge country/culture(s).
Anyway; Polyteism is indeed wery fitting for Hinduism... especially since there's really no other religions in the game that would fit the ticket.
Or just the fact that not one other religion can match it's multitude of dietys... 30 million? (dieties?)
There's only seven religions in the game... none of wich are the historically known european polyteistic ones, that are put together with every belief you could think of under the category; Paganism.
(Or european at all, unless you consider cristianity to be greek... wich it is, come to think of it)