In fact, the Fed could likely do next to nothing about inflation with our country's current debt levels.
Even at a historically average rate of 8%, our federal government would either go bankrupt, cut most spending, or massively raise taxes, causing a severe economic retraction. (Our $26T in debt would require half of the entire federal budget to service our debt at such rates.)
Many of our largest corporations would also fold, unable to service their massive debts. It'd be a disaster.
That's why people fear runaway inflation, even if it hasn't been a problem for several decades. Once you can identify it as a problem, it's too late.
It's sensible to be afraid of hyper-inflation. At some point the economic actors are going to be fed up with it and off-load their investments.
What's the process for containing inflation, and what's its mechanism of action?
You see this inflation mania most clearly with the ECB, which essentially is controlled by Germans. They fear a Weimar Republic-style hyperinflation above all else. So some of the policies coming out of the 2008 crisis reflected this, instead of being flexible enough to cope with the actual conditions and challenges of the day.