Woodrow Wilson helped to end the war and he worked for world peace. Although his League of Nations was not approved by the United States Congress, the concept later led to the United Nations which is instrumental in keeping the peace today. He deserved to win the Nobel Peace Prize.
Woodrow Wilson was a President that wanted peace, even if he entered the US into WWI. Wilson did not, in any way, want to go to war, and did everything he possibly could to ensure world peace. The German Empire seemed a real threat after the Zimmerman letter, there was nothing that could be done.
Yes, I think Woodrow Wilson did a lot to make peace, because he was a good negotiator with other people. Woodrow Wilson did take the country down the path towards socialism. For that reason, his domestic policy was terrible. But Wilson was popular among other nations. He did a good job putting out the olive branch towards other nations.
Woodrow Wilson did enough to make peace. In this message urging Congress to declare war on Germany, President Woodrow Wilson presents the Progressive understanding of foreign policy:
America has a duty to spread liberty across the world. “The world must be made safe for democracy. Its peace must be planted upon the tested foundations of political liberty.” By contrast, the prudent practice before Wilson was best captured in John Quincy Adams’s statement that America “goes not abroad, in search of monsters to destroy.”
Woodrow Wilson was not known for being a champion of peace, and he didn't do enough during his presidency to maintain peace. While he didn't necessarily cause tons of armed conflicts, his rhetoric and personality definitely turned off many enemies of the United States. He wasn't big on peace after all.