We live in a world where hyperbole is the order of the day. If you don't like gay marriage you're a proponent of genocide. If you suggest not letting people starve to death in the street you're a Satan-worshipping communist. Personally I've found that applying a purity test to the makers of everything I use results in me not being able to use anything.

"Doesn't want people like me to exist" is not equivalent to "wanting genocide", even if it is still (possibly, we can't read his mind) hyperbole

If not equivalent, it is not far from it.

"Doesn't want people like me to exist" is also not equivalent to restricting marriage rights. Conflating these two is an expression of toxic victimhood, and not a good starting point for well-reasoned debate.