I've never identified as Hindu. I don't think of the Vedas as Hindu. It's as though looking at the moon in between the branches of a tree. The tree appears situated between some branches only because of a distant perspective. This is a concept the Vedas call taṭastha-lakṣaṇa, which means "marginal characteristics."
The last semester of my university education was classes exclusively yoga and mysticism. I was just thinking a few weeks ago about the my textbook for the mysticism class, which was authored by Evelyn Underhill. It was worth reading, even though I don't identify as Christian. The essential goal of yoga is personal spiritual experience.
RE: The Ultimate Reality Is That Which Has No Outside