The Equal Immortality Program

In a not too distant future, humans will have achieved immortality,  which will most likely be due to a sort of self evolution where you can rewrite an upgrade your biology, perhaps giving up some biological elements and taking on qualities of our computers or other technologies, such as self-healing tissues, regeneration, etc. Anyway, we will also no longer be limited to a one way, one speed time dimension.  We will also not be limited to out solar system or perhaps even our galaxy.  Humans have the potential to leave the "nest" Earth and find new places to live (and hopefully not waste and deplete all resources while we're at it).  Anyway, we will think that it just isn't fair that all of the persons before us had to die.  A program could be initiated to contact the persons whom it is decided would be less horrified by what the future has become.  The person will be given the choice as to whether he or she would like to join us or keep the life he or she always had.  If it went badly or the person changed his or her mind, we could just return to the same instance, or before it an d warn ourselves not to contact said person.  Given that we had expanded our habitat, we would have enough resources to keep all of our past persons' cared for as well as ourselves.