Also, thanks to FDR and his "Brain Trust" it was declared that unions could not compete for union members, e.g. if you were a widge maker, the UWMA (Union of Widget Makers of America) was the only union allowed, the only widget-makers union you could/must join.
Any and all completing/potential union organizations for widget makers {"The Widgetmaker Brotherhood", "The National Assoc. of Widgetmakers", "American Federated Union of Widget Makers", etc.)was strictly forbidden.
So not only was the American worker was forced to join/contribute to "the Union", he wasn't even given a choice of which union he joined.