The issue may have been equally how the mother dealt with the child than just the father's influence. Did the mother encourage the clinging and baby the child to "make up for" the overbearing father? Both parents teach, guide, and influence a child. I've known several gays whose fathers were (from their perception) overly strict or cold, etc. But it was the mother's reaction actually made things worse by undermining the father and promoting wrong-gender behavior.
Correlation is not causation. All of these stats are more likely CAUSED by the nature of the culture. Open homosexuality and broken familys are both results of the liberal cultural climate.
I really get tired of hearing that a causes b when all they have is a bunch of statistical correlations.