Inflation can easily be controlled by the government, because it's often due to capitalists raising prices to capitalize on a crisis, despite still running a profitable, sustainable business. The government intervenes and stops the cascading wave of higher prices across the market, with its authority:
en.wikipedia.org
This has happened several times throughout our nation's history. Government intervening to stop inflation and to bail out capitalists from their bad business decisions, to avoid a catastrophic collapse of our economy.
Higher taxes for the wealthy was one of the emblematic features of the golden age of our economy, starting in the 1930s, under FDR's New Deal, all the way to the late 1970s. In the 1950s and 60s, 1/3rd of the American workforce was unionized, and one breadwinner earning a blue-collar wage could provide for the whole family. The highest-paid CEOs were making 20 times that of the average worker in their companies, whereas today the average CEO of a Fortune 500 company makes 400 times the average worker.
My maternal grandfather migrated here from Cuba in 1961 with his wife and children, without a dime in his pocket. He got a job with Bertram Yachts, in Miami, Florida, spraying wooden boat hull molds with fiberglass. He was the sole provider in the family and by 1965, he saved enough money to buy a house, with a large backyard and several mango and aguacate trees, 100% cash, without a bank loan. Try doing that now with a blue-collar wage, starting from scratch in just four years, while supporting your spouse and two kids.
In the 1980s, supply-side, trickle-down economics gutted the working class and stripped America of its manufacturing base. Labor unions were decimated by Reagan's policies:
What the working class has been left with is stagnant wages, few benefits if any, longer hours, higher living costs, and limited if not zero access to affordable healthcare and education. The Republicans have no problem with the rich getting their huge piece of the pie and leaving crumbs for everyone else.