Commercial health plans already have very low profit margins, enforced by the ACA minimum medical loss ratio and competitive pressures. There's nothing much to squeeze there. If you analyze the actual cashflows, most of the money is ultimately going to things like provider wages, facilities operations, prescription drugs, and medical devices. Regardless of whether bills are paid by employers, consumers, or government, any attempt to reduce overall healthcare system costs will have to focus on those areas.
And it's horrifying that you would advocate for violence on this issue so I flagged your comment.