Isn't the Supreme Court about to pass judgement on whether it's legal to obtain mifepristone by overturning an FDA approval from the bench?

No, they are not. Mifepristone will continue to be available regardless of their verdict. It may, however, become less accessible if they decide to uphold the the Fifth Circuit Court’s position and revert to pre-2016 prescription requirements. That is, unless Democrats pass a law guaranteeing access to the medication.

Overturning medical determinations based on research is new territory.

It is not. You can to sue the FDA for a variety of reasons, just like any other government agency.

If you don't think the best conservative thinkers money can buy are currently examining legal avenues by which they can federally ban abortion through a court decision then I'm not sure you're paying attention.

Of course they are. They are also spending billions of dollars yearly to convince as many would-be Democrats as possible to just roll over, because it’s way easier to execute these goals with control of the legislature and presidency.