The mafia influence over the Teamsters Union was at its height in the late 1960s, early 1970s. Well, well after Taft-Hartley.
The UAW and related issues absolutely killing the domestic US auto industry is late 1970s, early 1980s. It wasn't just unions there, but that was a major contributing factor.
Taft-Hartley was a decisive stroke in the effort to defang and depoliticize labor unions in the US (e.g., outlawing solidarity strikes and political strikes, expulsion of communists). Should we be surprised that kneecapping the militant labor struggle led to the corruption of its leftover power structures?
We should definitely abolish police unions, though.