the Kal(i)/eido of kaleidotheism is clearly from kaleidoscope but the roots (kal(i) and eido mean 'beautiful" and "way to/of(process)" (as in "(a) beautiful way to (way of) seeing".. (scope as in telescope, to see)

is this view of theology?
(a border line subject here.. since like proper dinner table talk, we tend to avoid religion and politics!) a beautiful way of seeing god/gods?
i dunno.

In fact i don't even really understand what idea it is you are trying to express!

how about a list
1--belief in multiple gods =Polytheism
2--belief in single god= Monotheism
3-belief that god does not exist =atheism
.
.
.
end with
X--belief in ..... (idea you want a word for =_______)
(fill in blank with ideas for the best word to express this idea..)
rather than talking about hinduism or other religions specifically!

since you are looking for a word, not a discussion of different belief systems (which could quickly become one about the relgions)and this is a word board, i think the subject would be OK--
--but since i don't know the concept you are looking to express in a single word.. i can't help you!

my other obsession