Companies don't have, or use, "teams of lawyers and a massive HR department to help them negotiate employment" with normal employees. *Maybe* they use those to help negotiate with C-level executives. For people working below $100k/year ($50/hour) I would be surprised if it involves more than one manager and maybe an HR person.
For the unwashed masses, they instead use teams of lobyists to buy politicians and ensure that laws that massively favour corporations and allow them to abuse their employees are passed.
The problem with the US Congress isn't the two party system. The two parties are simply a reflection of the fact that this country has two sides, and each side is irreconcilable with other. They literally hate each others' guts, to the point where the political minority in a given state is now moving to states that share their politics, hardening the red state/blue state divide, a process political scientists call "The Great Sort". You could eliminate parties altogether and mandate that elections are no -partisan and we'll still have the same problems. Eliminating first-past-the-post and implementing ranked choice this or that wouldn't change a damn thing as long as there are two Americas that loathe each other so much.
To think that a country of 300M people has exactly two sides to every issue is reductionist in the extreme. There's a whole swath of opinions and values in the USA, and trying to pigeonhole everyone in exactly two bins is stupid. If American politicians (especially the right) hadn't been busy fostering an artificial divide over the last few decades by spewing hateful, verifiable lies about the other side, maybe dialogue and cooperation might be possible. P0wning the other side for LULZ is no way to govern in a multicultural, modern society.
10 to the 6th power Bicycles = 2 megacycles