Bit of a double-edged sword, that. Worker-owned businesses are great, but if you instead make workers minority shareholders, you get... the modern retirement system, and inflated asset prices that benefit the ultra-wealthy far more than common investors.
More accurate to say that the US has been opposed to workers controlling the firms they work for. But the capitalists dangling just enough of a morsel to get the workers to dance 80 hours a week, but without the ability to actually control anything, and without majorly diluting? Chef's kiss.
Every share is a voting share. There are a small number of weird cases (e.g. Meta super-voting shares limited to Zuck), but your statement is broadly false.