I've never studied parenting across the country, and I acknowledge that there are definitely cultures around the world where women are treated like property, but I've never witnessed a parent enforcing some gender stereotype for toys. It's hard to imagine a parent even caring what toy a kid is playing with, unless they are hurting someone.
The generous view of the dads worried about sons playing with girls' toys (no quotes around girls', because I guarantee the marketers intended them that way) is that they're concerned it'll signal "ostracize me and kick my ass, please; I'm an easy mark for gaining social status at the expense of another" to their peer group. Which doesn't make the effect any different, but the intent might not be to limit their sons' play per se.
[edit] what I mean is simply that those kinds of sentiments might be a reaction to perceived bias in culture, expressed as bias but not driven by same, if that makes sense. A kind of re-enforcing meta-bias. Again, doesn't make the effect any better.
It does still quite a bit, it's easy to forget how varied the US is. My cousin married a guy who's very into traditional toys for his son, a few Christmases back his son was playing with a doll with the other kids and he was not a fan of that at all.
It's much more subtle than that. A child isn't raised by his/her parents alone. If you have daughters, your family and friends (and their friends) will by default mostly buy them stereotypical girls toys
