The point of economics is to give people what they can have, not to give them what they want. High inflation in a MMT context means that the economy as a whole wants more than it can have. The reason for the inflation is that people are bidding against each other for scarce goods; you've injected more means to pay than exists means to produce. The way you cure it [1] is by reducing demand, which you do by decreasing the means to pay. MMT proposes doing this by increasing taxes; monetarism proposes doing it by increasing interest rates. But in both cases, the whole mechanism for solving the problem is people going without things that they want, which will almost always be unpopular.

[1] When you can't increase production capacity, which in a macro full-employment context means increasing productivity, which is outside the scope of MMT or most other schools of macroeconomics.