Is there an alternative to inflation targeting (to central bank inflation control)?

After a long period of time when inflation and interest rates have been very low, the return of inflation should normally require central banks to return to an inflation target policy and to raise interest rates sharply. But this can be difficult as public debt ratios have risen considerably during the period of very low interest rates. So is there a way to prevent a return of inflation targeting and perhaps a public debt crisis? There are actually two ways: Central banks move to a higher inflation target (4% instead of 2%), but this would require a full re-indexing of the economy, thus making it unstable in the event of an inflationary shock; It is fiscal policies and not monetary policies that “cool” the economy and drive down inflation, so there is a sharp reduction in fiscal deficits.