To a Hindu 'no more comings and goings'. I had found what every mystic has searched for for ages.
Again you're misinterpreting Hinduism in your unique Baha'i' way. For Hindus, this end to comings and goings is moksha, the final outcome. Up until then we are constantly coming and going, under the triple bondages, samsara, and all that.
What you're describing for a Hindu is just the settling into a single sampradaya, or school.
So the difference is registering at a school versus graduating from the school. Not the same thing ... at all.
If the end of the search is simply finding the prophet that's fine. But Hindus continue to work on changing their character until all karmas are resolved. Another very major paradigm difference of course.