Here is one example of the far-reaching harmful effects of these bills. Both bills would flatly ban the possession, sale, or use of technologies that "conceal from a communication service provider ... the existence or place of origin or destination of any communication". Your ISP is a communcation service provider, so anything that concealed the origin or destination of any communication from your ISP would be illegal -- with no exceptions.Firewalls and encrypted emails both have the potential to violate the proposed laws, as does Windows XP, which has its own firewall. There's also some concern that even NATs and broadband routers could be in violation.
Just when you thought the DMCA couldn't get any worse.