lots of nice stuff in Buddhism
reincarnation is certainly the right understanding
but it was too passive, too unfriendly to warriors and weapons in early days, it was why India was conquered by Muslims
"Never was there a time when I did not exist, nor you, nor all these kings; nor in the future shall any of us cease to be."
- Krishna to warrior Arjuna, in the Bhagavad-Gita
from Peter Brook's 1989 film adaptation
https://www.youtube.com/watch?v=ACVk7lxnp1g