States have seceded from one another while retaining the bill of rights. See Vermont.

The Constitution of the Confederacy stripped the 4th and 10 amendments out so the central govt could enforce the fugitive slave act uniformly across state borders, ie CSA states had less autonomy than US states.

It's still not clear if states can secede so to increase its citizens' rights. No one has tried that.

Should states be able secede so to increase the power of the state and infringe on citizens' federally protected rights? Clearly not, or we might as well ditch the bill of rights altogether.