Wilsons arrogance did not doom U.S. involvment in the League, it was the Republican isolationists running the senate at the time that made that happen
Yes, but although much of the immediate blame can be placed on William Borah and the Irreconcilables, Wilson did little to help matters by refusing to take any Republicans with him to Versailles for input. While Wilson is one of my favorite presidents, he was also very stubborn, and the League Covenant would have passed had he allowed the Lodge Amendment (which really wasn't that extreme) to get tacked on.