How is the problem that workers accept lower wages, rather than employers proposing them?
That's what strikes and things like that are for
It's very interesting how some of the most highly paid contract-based workers in the USA have the strongest unions - actors and professional athletes.
If everyone joined the trades, the supply of trade workers would increase and their hourly wages would go down.
People are not "willing", they are desperate to not end up sleeping under a bridge.
It's much cleaner to tax the employer class's excess income, however it's earned, and redistribute it to "gross up" the worker class to whatever the minimum wage would be. Then employers don't have the option of shifting their investment to automation, self-service, less labor-intensive industries, etc. to avoid the concession.
(minimal wage doesn't work either for the same reason)
Both measures impact smaller employers more too and cause problems for local employers but not global ones.
The good solution would be to either tax local revenue of global companies, hunt the dodges and tariff the imported products (again problematic) as well as imported labour. This stinks of mercantilism of course and could have higher order effects.