We could increase the money supply and it wouldn't solve the problems of poverty or "income inequality." Increasing the money supply does not create wealth or prosperity (I'll tell you what does in a minute).
Two simple questions wreck the entire Keynesian premise:
1. If printing endless money is a good thing, then explain why economies like Zimbabwe, the Weimar Republic, etc have all collapsed.
2. If printing money has no side effect, then why bother having income tax? Couldn't the gov't just print more of their own money? What's the point in taking ours?
Some progressives have moved on from printing money to trying other dumb manipulation tactics like increasing minimum wage. If the higher wages comes out of the pocket of the business owners, we merely replace one individual's consumption with another's. That doesn't create wealth or prosperity either. Higher MW may come at the expense of job creation if the profitability of the business declines...more on this shortly. It may just create inflation rather than real consumption. It may result in the replacement of workers with automation. But it also ignores that every market is different and competitive conditions for each business are different. The old saw that, "All business is local" applies. Each little business has a different competitive condition.
Most importantly, raising the MW may also kill new investment that money may have gone for...new jobs, new equipment in a plant, etc. THAT is where wealth is really created, the true engine that creates jobs.
The market might be able to support higher wages initially, but at what costs? Wages decrease when the demand for labor decreases. If you want higher wages, increase the demand for labor. This is done by creating jobs. Jobs are created when people invest in businesses. To do so, they must have excess wealth that comes from profits.
By taking this excess wealth that "can support higher wages" you actually are undercutting the very source that could naturally drive higher wages.
These are the unintended consequences of liberal ideology and government solutions.