That’s the real agenda behind “gov’t health care” - control over your behavior.
MANY states REQUIRE proof of liability insurance coverage to obtain either a driver’s license or license plates.
The insurance companies participate in a mandatory state “assigned risk” pool to offer these policies to residents who cannot qualify for normal coverage. Premiums are set (and adjusted) to maintain the balance between total costs and total benefits paid.
And while this does contain the element of state coercion, it does keep the government out of actually being in the business - and it might be the best we could hope for.