Instead of jockeying for better terms within a capitalist mode of ownership and production, the UAW would have seen its long term goals better satisfied by pursuing an alternate strategy. Specifically, the UAW should have striven to change the capitalist ownership model itself by acquiring and running their own worker owned businesses. They could have cheaply purchased any or all of the failing auto companies like Hudson, Studebaker, Kaiser-Frazer and AMC and retooled and relaunched them under a 'UAW Motors' banner.
With a membership that once topped 1.5 million, it would have easily beaten Spain's Mondragon Cooperative Corporations as the largest worker owned business in the world. Such a move would have had an enormous impact upon, not just the auto industry, but the entire manufacturing sector across the world. They could have been a template for worker ownership and industrial democracy, which likely would have spawned similar scenarios in many other industries.
But by clinging to the farcical notion that 'Capital and Labor are brothers', they have doomed themselves to a path of obsolescence.