How can you claim Wilson was a progressive when he clearly acted like a reactionary? He in fact won against the progressive party in 1912 (against Roosevelt and others), and ushered in the end of the progressive era.
Most people consider him a progressive.
http://www.washingtonpost.com/opinions/the-best-way-to-tell-...
Donald Trump bears little resemblance to Reagan or Lincoln, but he is still a Republican. Wilson, likewise, was a progressive - even if he did other things we might consider anti-progressive.
The definition of progressivism, like Republicanism (and conservatism, and liberalism), has also changed significantly in the last century. Prohibition of alcohol, for example, was a central plank of most progressives of Woodrow's era, but it is not considered such now. Likewise, opposition to racial inequality is often associated with modern progressivism, but it was not so explicitly supported by many early progressives.