Vatican Embassy Protestor

[Esquilax]

And, if the Catholic Church professes that a supernatural being exists, why would virgin birth and resurrection be off limits to it?

I don't suppose "lack of evidential support" would count as a reason to you?

Don't atheism and homosexuality set family members against one another?

Never by design: the tensions that arise there are due to the pre-existing bigotry of others in the family who are set against their atheist and gay family because they dare to exist and admit their atheism/homosexuality. It'd be blaming the victim to state that because others are baselessly bigoted that's somehow the fault of the people experiencing that bigotry themselves.

So you've noted that your 'evidence' contains no mention of infallibility.
The pope is selected by a vote. That's it. Perfectly fallible.
The pope is infallible because he is the pope. No matter who he is. There is not a breed of infallible white male Italians that the cardinals need to discover.

What are you even trying to say here? The pope is infallible because he's the pope, but since the pope is selected by fallible cardinals, therefore he... isn't infallible? Pick a line and stick with it.