Most money is not created by the government, and most inflation is due to velocity of money, and not creation of money. In short, it is very complex to control inflation, much as it turned out to be very complex to reverse deflation.
Keeping the US Dollar stable has taken a huge amount of effort. Volcker raised the fed rate to 20%, causing double digit unemployment, and hurting the income of over half of Americans, all to get inflation under control in the late 1970's. It was brutal what we as a country went through, but the Fed decided it was worth it.
Your claim they are not trying to keep the Dollar steady is just delusional.