I like that idea, to challenge it that way, in the House. I agree with McCarthy that is the best way to go. This is totally different than Ted Cruz or any Senator suing the President - which is what you suggested I think.
I would also say that I wrote at length, in American Thinker, Breitbart, and two books that the GOP was making a huge mistake to leave it to the courts. I wrote that well before the ridiculous Roberts’ ruling.
And for how to extricate ourselves from this mess? That’s a tough question, and the first thing is for more people to realize, like you and I both do, that we are indeed IN A MESS. It’s going to take a lot of things happening simultaneously - and if the GOP would follow McCarthy’s suggestion, that would be a good development indeed.