Only if you define “rights” and equal treatment in rather libertarian way. Americans’ ideal family size is the highest in decades. Almost half of women (46%) ideally want three or more kids: https://news.gallup.com/poll/511238/americans-preference-lar.... But the American ideal of “equality” is giving women the choice to be treated like childless men in the workforce. And America’s idea of “rights” is allowing women to abort pregnancies, rather than the “right” to social and economic support for having children.

Ideal != even close to going to happen. As you note, the reality on the ground is so unconducive to that actually happening, it’s a joke.