The simple fact has to be noted that the market isn't controlling wages and hasn't for the last 70 years. Corporate head are the ones controlling wages and stupid people who think that their shouldn't be any minimum wages that the market will take care of that , bull****. even Adam Smith in about 179? said there is time that the market doesn't control wages that the business does and of course he also pointed out the obvious , that it isn't a good thing.
Again, we the people control government.
Government controls the tax rates.
Tax rates are the primary way our nation ensures capitalism doesn't control everything.
When wages drop, that's because as you wrote, corporations control it. We give corporations enormous power to conduct business safely in the U.S. which is good, we just need to balance it out on the back-end.
Government offsets that with its own market actions (that are significant), and it's most widely used tool for this, progressive taxation.
Progressive taxation simply needs a boost to offset the enormous gains over the past decades in shifting wealth to the wealthiest, and instead shift a little more to the middle class.
Notice other countries do it differently. Some use government more directly to control markets. We don't like this method.
Other European countries use unions, prohibit corporations from using cheap overseas labor, have much higher but much flatter tax rates.
Etc.
If we're going to use the "empower corporations" on the front-end model, that's fine. I like that tool.
We just need to tax that properly on teh back-end, and regulate them sufficient to ensure everyone contributing to this nations economy, sees more similar growth rate gains in the long-term.