The expected inflation in US is around 2-3% and until we see inflation heading towards those numbers it's hard to say economy is stabilizing.
For comparison, the expected inflation in India is around 8-10% and that's why you don't see the pinch in the Indian economy right now even with the tightening of rates.
I am no predictor of the future, but more likely the US interest rates will hit the range of 10% before we start seeing any easing in inflation. Once we see unemployment numbers going up consistently for a couple of quarters that will be the sign of economic stabilization I think.