Why wilson? He seems a like a straight shooter, wasn't his fault the versalles treaty was what it was , and I'm not sure any president could have change that fact
Think of the positive butterflies if Wilson didn't bring the USA into WW1 on the Entente side. If the US had stayed completely neutral, the war would have ended in a bloody stalemate with all sides weakened. The world would have been better off if there had been no "stab in the back" myth in Germany that led Hitler to power, no dissolution of the Austro-Hungarian and Ottoman Empires that led to a clusterfuck in the Middle East and rise of Islamism. The European powers would have been weakened leading to the loss of colonies earlier leading to a more stable and united Africa. The Communists would have still come to power in Russia but I think they would have collapsed peacefully without WW2 giving them a shot in the arm and be a threat during the Cold War.
WW1 had the greatest influence on the present world, and for the worse.