I didn’t set up a dichotomy. Maybe you should look up the definition of dichotomy with regard to the “either/or logic fallacy”. I did no such thing.
I set up a comparative - which is more irrational?
You transparently avoided answering.
You presented the choice: “believing 0bama was born in Hawaii based on no supporting evidence,”
This is not a true statement. That you choose to reject all evidence doesn't mean there is no evidence.