

This article mentions that they are trying to disenfranchise people with the citizenship proof requirements, and it also mentions that they specifically want to disenfranchise women, but it doesn’t draw a connection between the two. In order for those to be connected, women would have to have more difficulty in producing that proof than men (which may be the case, but the article doesn’t show that).
To actually answer your question, though, at least from the conservative women I’ve talked to, they are fine with that. The conservative women I know are weak, and they essentially want to give up responsibility in exchange for freedoms. They actually want women to be second class citizens because it means that they don’t have to worry about anything (but they do have to just do what they are told).
There are old, conservative women who spent their lives as housewives who feel threatened by working women, so they want to maintain/go back to the status quo of women staying in the home (ignoring the fact that working class women have always worked). On the other hand, there are young, conservative women who do work, who yearn for the pretend vision of white, upper-middle class 1950s, where they get to just stay home and do what they want all day.
TL; DR: They essentially want to be like children, worry-free in exchange for less freedom.
P.s., there are definitely plenty of conservative women too stupid or unwilling to admit to themselves that the conservative position is women as second class citizens, but I wanted to respond with the perspective I’ve heard from people who seemed to be more honest.
Yeah, that all definitely sounds reasonable to me. It’s just weird that if that’s the point the article was trying to make, they should have supported it a bit.