Come to think of it, I don't think there is much of a direct parallel between the frequent understanding among Christians and Muslims that God should be worshipped because he is supposedly the one true God and the perspective of most Hindus.
Brahma seems to be the creator God, but that does not really have the same implications that a Christian or Muslim might expect.
Nor do devotees of any particular Deva seem to feel much of a need to convince other Hindus that their Deva is in some sense more proper than any other.
Most of the time, they just disagree and sometimes discuss those points of disagreement, without much of a worry.
Even the disagreement between Advaita and Dvaita (for instance) seems to sound a lot more serious than it is in actual fact. Hindus don't lose a lot of sleep because some of them think that the substance of the universe and of the Devas is the same as ours, while others see a fundamental distinction.
Nor do I see any reason why they should. Those are very personal matters and disagreement is quite acceptable. It is not like the average Hindu has a duty to "correctly" build a metaphysical reality or anything.