You don't have to subscribe to any religion to want reincarnation to be a reality. The Gaudiya Vaishnava Hindus- Hare Krishna movement- believe it to be instantaneous, which I suppose is convenient, not having the soul hanging about in the cosmic waiting-room for a new form. The Meher Baba Sufis believe it to be in the region of 700 years. I'm more relaxed about it- no time limits and come and go as you please.
Whichever- we've got a billion years to think about it. Of course, there are plenty of people who believe that death equates to permanent oblivion. Seems like rather a masochistic belief to me.