Nah, let progressive Protestant churches welcome them with open arms though!
If equality between men and women is too progressive for Catholicism, I think the Western world is too progressive for Catholicism.
I think that's been self-evident for a long time. What has been the M.O. of the Catholic Church on those matters is, "We don't need to get with the times, the times need to get with the Church." Which I can respect to a degree, because religions fundamentally should not operate like political parties do and accommodate their beliefs for the whims of the time.
So I do not have a problem with the Catholic Church standing firm on its exclusivity, or the countless other reactionary beliefs it teaches. I am grateful to belong to a church that does things differently and ordains women who receive the call, despite those who allege that being more welcoming as a church causes its membership to decline. Of all of the things God expects from us, popularity is not one of them.
What baffles me is progressive/liberal Christians who join the Catholic Church (I have known a few) with the stated intent of "changing it from within," whether it's leadership roles for women or LGBT acceptance. If anything, the fact that we have so many denominations now with which we are free to choose makes the chances of the Catholic Church changing its position on gender roles or marriage far less likely.