Good idea actually. It won't work in Australia but sure the US could do that, but that would mean an informal vote. There'd still be a government no matter what.
Australia is like a 6-party state with the 2 major parties being the Australian Labor Party (the Centre-Left party) and the "Liberal" Party (the Centre-Right to Right Wing party). The other main parties include the National Party (Right Wing), Australian Greens (Left Wing), Independents (not an actual party but they can vary political positions and are usually either Centrist or Left Wing). The 6th categories of parties is other which includes United Australia Party (Right Wing Anti Vaccination and Climate Denial Party), Pauline Hanson's One Nation (Right Wing to Far Right, Australia's largest Far Right Party), and a bunch of niche parties like Legalise Cannabis (Single Issues, assumed to be Left Wing).
Whereas with the US, its a two party state which could be a one party state if voting was mandatory because the GOP would never win with apolitical people unless their lies were hard to debunk (but thank goodness America's television channels are actually mainstream unlike Australia's TV programs, but that's another issue to talk about later).