Sure, real genuine universal health-care would be a great thing, and is an important goal for a society that wants to see itself as truly civilised.
But conflating that with tax breaks for families and using it as an argument against treating all kinds of families somewhat fairly seems wildly irrelevant.
So much so that I can't help thinking it's just an over-intellectualisation of what is basically homophobia that you don't dare admit to openly; perhaps not even to yourself.