Better to send the women. Who do you think the average leftist is in any educational institution? They make up the majority of education from pre-k on up to college from the classroom to the administration. When people say "the long march through the institutions," who do you think was doing the marching? Oh yes, leftist men exist, but they wouldn't have nearly the power or institutional sway if their weren't a host of female "educators" always ready to back them up. Send the women, and replace them with either right-wing women, or right-wing men. Retake the schools, and the future generations will sneer at race marxism.
The fact it took an amendment to "clarify" that states couldn't do what you said they exactly had the power to do puts your reasoning to the torch. You are basically making the argument slaves were always free, the 13th amendment merely "clarified" they always were. No one believed that then, and I hope nobody buys this argument of yours now.