Hi JG
You wrote, "2. If reincarnation is an unstoppable cycle, then where are the reincarnations of the world's greatest people? Where is the spirit of Jesus or Buhdda or Ghandi..etc.?"
Interesting questions... who knows maybe some are still hanging out in-physical but not essentially of the physical, or in other words they are immortal but still living what we would perceive as a physical life. There is a really interesting part of Robert Monroe's last book "Ultimate Journey" where Robert asks his "higher self" to direct him to meet the most evolved human now living in his time-space. His higher self says yeah, but you may not get what you expect, type of deal.
This person is in an ordinary looking room, but as soon as Robert arrives the energy he senses from this person is very powerful, "like standing in bright spring time Sun", familiar, and balanced between the masculine and feminine, so Robert labels this person "He/She". Apparently He/She is about 1800 years old, doesn't eat or sleep, has a great sense of humor, and works many various jobs constanty, which He/She says keeps Him/HerSelf young.
Or, Edgar Cayce's Source said that indeed Yeshua did resurrect his physical body, and change it into another form which encompasses all Focus Levels and is not limited by time or space. I'm sure he keeps busy
Cayce also claims that there are others who have graduated to this degree and who do not age, have to eat or sleep etc..
This "resurrection" is very suggestively substansiated by the Shroud of Turin and all of the carbon dating during the 70's and early 80's has been called into question by many learned scientists.
One researcher showed that old fabrics collect micro organisms over time, which he calls a "bioplastic" layer, and this can greatly change the dating results, plus the shroud was in a fire and since fires add carbon, it can make it look scientifcally younger from a carbon dating testing standpoint. Not to mention there are hundreds of little and major other evidences supporting its authenticity. Probably the most convincing is the imprint of Leptus (?) coins found on his eyes under photographic magnification. These coins were supposedly minted only during Pilate's brief rule in Palestine.
The most interesting thing is, nobody can explain how the image actually formed and especially the way it formed was so unusual. Scientists at Los Alamos labs. concluded after all their research that only a high intensity energy burst, not unlike that thrown off from a nuclear explosion, could "imprint" something in that way. Walter McCrones painting-pigment theory has been refuted by many, many other "experts". I would be very interested in Dora or Lucy's explanation for this, if our bud Yesh wasn't ever a historical personage?
But none of that explains you original question, do people, even ones like Krishna, Yeshua, Buddha, etc. reincarnate? I wish i knew!
I think God is a great believer in choices...