“Inflation and interest rates are oddly not connected”
Ben Bernanke would disagree with you. One of the ways the Fed tries to cut inflation pressure is to increase interest rates. What they are actually changing is the interest rate that banks charge each other, but that usually (not always) has a ripple effect to consumer rates, including mortgage rates. The idea is that higher interest rates decrease the demand side of supply/demand, which should help keep inflation in check.