How come believers completely reject the ideas put forth in the theory of evolution and inversely why can't non-believers accept the possibility of the existence of something they can't experience with their 5 senses?
First, both of those statement are wrong.
I am a believer. I do not reject the ideas put forth in the theory of evolution. That is also true of EVERY major Christian Church in the world and of Every other Faith. Believers have no problems with the TOE.
Granted some believers have problems but when we discuss it with them invariably we find they are ignorant of what the TOE means and covers.
Your second question is "why can't non-believers accept the possibility of the existence of something they can't experience with their 5 senses?" Again, many do. What they say is you can't test it objectively. And that's correct. You cannot test what cannot be experienced.
Aslan is not a Tame Lion