Aside from the obvious
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Since states can still allow abortions, this means that a lot liberals will fuck off right back to their blue states (God-willing).
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It's not enough for states to ban abortions, though; they must criminalize it, because people are already talking about driving over state lines, getting an abortion, and then coming right back. Criminalizing it means that the person will be wanted in that state, and at the very least, cannot return. This should help make it that liberals MOVE out of red states altogether.
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Men and women will be more conscious about having unprotected sex. Hopefully, they'll look for serious relationships that will lead to marriage (won't hold my breath, though). Overall, it should lead to less degeneracy.
I do not think people will move to blue states do to this law. At the end of the day all they care about is being upset on twitter or facebook, receiving validation from their peers and having a fake sense of moral superiority.
The more I think about it, the more I agree with you. Having the appropriate twitter opinion is a strong drug.