Now I don't think there's any need for parents to push masculinity or feminity on their children since I think that will develop anyway in their kids due to natural factors.
I would not, however, act to "push" gender neutrality on my sons either. I wouldn't be offering them the option of Ken and Barbie dolls for Xmas instead of a model train set or baseball glove. I think that's just silly. Would I offer daughters a model train set if they wanted? Sure. Nothing wrong with an engineering career for women if they're inclined that way.
Moreover, at an age where a child doesn't know any better, I'd make sure a little boy was wearing gender appropriate clothing. I read of parents who allowed a little fellow to wear his sister's very brightly coloured dress to church because these parents were so enlightened and didn't want to cramp their little boy's creativity or whatever. The other parents thought it was cute. Well guess what? Any of the slightly older kids who spotted him dressed that way would be taunting this little boy for that act for years to come. Sure, he'll learn to put up with it. He'll have no choice. Just like the boy named Sue, he'll grow up tough - and unfeeling. He'll be one nasty piece of work by the time he reaches adolescence. There'll be no milk of human kindness there.
I've also read of mothers so heavily into fem-lib that they've raised their sons to be sensitive to women's equality issues and the like. These women should be flogged. What kind of mother does not hold the well being of her children, in this case her son, as her paramount interest with all other concerns subservient to this one? And any argument that a man will be "advantaged" in this day and age if he's sensitive to women's concerns is simply claptrap. A little boy should be raised to be sensitive to developing the life skills he needs to succeed in the real, often harsh, world out there.