One would think so. That's pretty much what happened with Cruz - he overcame the establishment politician. Has he been vigorously responding to the insurrection? What is he going to do about this SCOTUS decision? The Dems win beause they scream night and day. When are Republicans going to start pressing their case loudly and without ceasing? Some people say that's just words. But, as Jeanne Kirkpatrick one said, that's what politics is.
He can't "fire" a Supreme Court Justice. He has no power other that to speak logic and truth to the American people who vote. Kind of like Tucker Carlson has been doing lately. Tucker has even beaten the Cancel Culture folks who tried to silence him. It can be done.
As for your suggestion to "start pressing their case loudly and without ceasing..." you have to remember; Dem's are like ill behaved children and the Conservatives are the adults. Screaming loudly at children accomplishes nothing.You spank them when needed and send them to bed with no supper and DJT is just the parent to do it. He does however, need us to have his back. Imagine the current world if hillary had won. We owe that man a great deal.