Now we’re going to have government trucking...

I guess trying is the operative word. No need to change legislation, there are many opportunities to organize their traditional base
The full name of the union was:
International Brotherhood of Teamsters, Chauffeurs, Warehousemen and Helpers of America.
If that doesn't describe a union to organize Amazon I don't know what does.
Enormously enlightening recap of the IBT in this wikipedia article.
International Brotherhood of Teamsters - Wikipedia
How they choose to support Ronald Reagan, George Bush i and II, then did a 180 and support Barack Obama and then Hillary Clinton is part of the story in the above article.
I think I have my old membership card around here somewhere. Local out of Cleveland, Jackie Presser was the business agent. Got stuff done, ya know what I mean?