What makes you think tariffs are inflationary? "Always and everywhere, inflation is a monetary phenomenon" -- Milton Friedman
Money supply has to exceed money demand for there to be inflation. Tariffs don't change the money supply, only how it is distributed in a foreign trade exchange.
Agreed, at the marco level inflation is primarily driven by the money supply. I see where people think tariffs can be inflationary because tariffs can cause the prices for certain products to rise. It comes down to what's driving the price increases.
Are prices rising because of a higher tax on the products or are prices rising because there is excessive demand?
Taxes, including tariffs: The Fed would likely ignore it unless it posed a threat to maintaining full employment. If the prices rose enough they could decrease demand, which could pose a threat to employment. This would prompt the Fed to lower rates.
Excessive demand: The Fed would likely view this as inflationary and raise rates.