Which presidents can be referrred to Woodrow Wilson and why?
You say "referred" but I wonder if perhaps you mean "compared."
I would say that one of the major characteristics of Woodrow Wilson was his stubbornness and unwillingness to share power. He really dug in his heels on any changes to the Treaty of Versailles and, thereby, lost any chance of getting it approved by the Senate.
Two other presidents who are often called stubborn like this were Lyndon Johnson and Richard Nixon. Historians often say that both of these men hurt their presidencies by being too stubborn and unwilling to change their minds.
Wilson was also obsessed with the idea of world peace, and his legacy once he left office. Jimmy Carter had some of those principles. Wilson was also not afraid to use the "bully pulpit" whereby he gained popular support for something that Congress opposed, and thus put pressure on Congress to pass what he wanted. He tried to do this with Senate ratification of the Treaty of Versailles, but died during that trip around the country. Teddy Roosevelt and Ronald Reagan were especially good at using the bully pulpit as well.