Seems two moms are fine for some, but not two dads

Article here. But to be fair, they don't seem to like gay women, either. Excerpt:

'Just a few months after anti-gay group One Million Moms launched a campaign to remove Ellen DeGeneres as JCPenney’s spokesperson because of her sexual orientation, the group is boycotting the department store over a new ad featuring a same-sex couple. The Father’s Day ad shows real-life dads Todd Koch and Cooper Smith playing with their children, Claire and Mason.
...
The last time One Million Moms and JCPenney locked horns, the store responded by standing behind its partnership with DeGeneres, stating that “Ellen represents the values of our company” — and with this kind of proequality advertising, JCPenney is “continuing to reinforce its progressive values.” It’s not the first fight for either of them; in February, JCPenney distributed a Mother’s Day ad featuring two lesbian parents and their daughters; One Million Moms also took a stance against Urban Outfitters after the store featured two women kissing in its catalog in April.'

The specific group One Million Moms aside, I wonder just how many people wince at the idea of "my two dads" but are just fine with "my two moms"? I am not aware of any studies as such, is anyone else?