@Indigo Sure it may try to re-enforce the left-right dichotomy but it's also clear that the elites want population control so having vasectomy mandates would be beneficial to them, especially since they are not 100% reversible, despite all the claims. So some men will end up permanently sterile.
My standing theory is that the reason this happened now is largely because people were seriously starting to threaten to break the left-right dichotomy due to disenfranchisement on both sides, this gives "red meat" to the conservatives and results in political capitol to get them voting again, and builds political enfranchisement back into the Dems who were feeling pretty burned by Biden being an absolute failure (now they have a tangible Trump-related consequence to reference, since the decision was a direct result of the judges he appointed.
The biggest concern I have is the reverse of president this has set, especially with the wording Thomas used opening this up to re-evaluating precedent set on other cases too; but then again he says a lot of things, and it's not immediately financially or politically useful for them to seriously after Gay marriage or contraception, so I don't think that's going to happen.
Like everything else, follow the money, and think about who benefits.