Why do I have to prove I am right if you don't? I think that is a double standard. Let me disprove your logic with a simple example.
Fermat's Last Theorem: If an integer n is greater than 2, then the equation ato the nth + b to the nth = c to the nth has no solutions in non-zero integers a, b, and c. Mathematicians searched for proof of this for centuries, yet no own is trying to claim they are crazy for doing so. Mathematicians believed in that proof long before it was discovered. Yet by your standard they were all either liars or gullible.
The lack of proof is not evidence that something dos not exist, it is simply proof that we don't have proof.