I call Godwin for your Hitler-bomb.
a family is a procreative union of a man and woman
If this were true, then infertile heterosexual couples would not be allowed to marry and fertility tests would be a precondition of marriage. After all, an infertile couple bumping nasties (sodomy I guess by your definition) does not meet your definition of family.
Actually maybe you've explained one of the reasons that there are so many visibly pregnant brides in Poland - the priests are requiring proof of fecundity before couples can get married.
If I were an orphan I'd rather be adopted by a loving gay couple than live in an orphanage.
As for your statistics, some citations would be helpful.