bypassing DNS is going to break the internet as much as SOPA is. content distribution networks rely on DNS for load balancing. legitimate sites moving to new servers rely on being able to push out records with low TTLs. by statically caching things for long periods of time, you are going to cause more problems with legitimate sites than you are going to fix to get to "rogue" sites that get taken down by SOPA.
a better approach would probably be to just hit that non-DNS cache for sites that don't resolve, or push out a list of known "killed" sites. if SOPA makes sites given the "death penalty" resolve to an ICE-style page, then the extension could just store the IP addresses of those government-run servers and consult the cache for sites that resolve to them.