I accept that we are higher than most animals in many respects, if only by virtue of our ability to reason, and certainly don't think of myself as being in the same category as my pets.
The Hindu ethos which, from the little I know I like, is very interesting indeed and I sort of understand what you are talking about.
For me, connecting with the Divine within me would not involve me attempting to rise above anyone or any other creature, it would simply be to know God better, gain insights, strengthen myself and maybe find out what God wants me to do. I may indeed 'rise above' and become a higher being, who knows, but that wouldn't be the principal purpose and I wouldn't think of it.
It's good to learn.