correct me if I'm wrong, but
A) No truly understanding Buddhist would make such demands on Buddhism. The only deviation from Buddhism is a closed mind and pretending to know things we can/do not.
B) There is no "reincarnation". We don't wake up again and get to relive new lives. This is probably the saddest perversion of the path. That we would be born again would be senseless considering the doomed fate of the planet earth when the sun inevitably swallows it up. There is only a recycling of materials and forces, a "remanifestation" of sorts that exists seemingly independent of your own consciousness; the water in the waves, if you will.