Cool thread and discussion.
I think Smith has to be number 1. Six in a row, two Olympics, extraordinary tactician.
Tougher calls after that.
I'd have a hard time deciding between Snyder and Burroughs. Snyder six golds, including an Olympics, and two of his worlds included wins over Sadulaev, with the win in this year's bracket a lasting achievement.
Burroughs one more championship than Snyder and really was the U.S. leader for years, and had tougher competition to make the team. But he really laid an egg at that Olympics. Luckily with a four person monument, don't have to definitively decide between these two.
I think Big Bruce fourth, that's a big pile o' medals. Gardner does deserve an honorable mention because of his Miracle on Ice type upset, but his volume of medals is a lot smaller than the rest.
There are some interesting guys knocking on the door.
Gable and Sanderson. If this was a greatest American wrestler (including college), they might be the top two. Gable's amazing dominance in college (the loss was so shocking that it underscored the dominance) and the shutout Olympics. Sanderson the only undefeated college guy and an Olympic gold. Both retire early to become the two best coaches ever. With the coaching, they kind of have their own private Rushmore in an overall category different than this thread's question.
Dake and Taylor. Both probably would have more titles if hadn't been less advanced in their careers than Jordan was for several key years, and not disadvantaged by the rules vs Burroughs, it was crazy how tired they were against a fresh guy.
Dake could also be in the running for greatest American wrestler with Gable and Sanderson. He has a lot more world medals than them, was the only nonredshirt four timer, and has that championships in seven different weight classes talking point.