In my eyes T. R. have simply grown into a historical version of the Chuck Norris meme, so some backlash was to be expected.
As for Wilson, he did some good things like giving women the right to vote, but it really don't make up for all the terrible things he did. At least not in my opinion.
How did Wilson give women the vote? It was a constitutional amendment.
Wilson's face heel turn on the issue in 1918, in a widely publicized speech on the eve of not the first congressional vote on it, was instrumental in getting the amendment passed. It actually failed on that occasion (two votes short of the necessary two thirds in the Senate, after passing the House easily) but was passed on the next try the following year.