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As you may know, Taft was hand picked by TR in 1908 to succeed him. They had been best friends as young men arrived in Washington.
Yet four years later, they were bitter rivals, and TR's Bull Moose run ushered in Woodrow Wilson. (In my mind, Wilson is sadly underrated.)
Anyway, TR's career as a trust buster and bitter opponent of corruption is the thing that makes him diametrically opposed to Trump. In TR's day, Trump would have been his #1 target.