I do see your point, but there seems to be some aversion to the Sony BMG's of this world intentionally falsely accusing people. There is no issue with what sites you go to, its the copyright files you download or upload. Basically meaning P2P file sharing.
If your IP is seen sharing copyright files, you are at risk. If you do not do this, there is no risk as your IP wont be seen as its not doing anything that is being watched. Certainly encrypt your wifi access point, and make sure users of your network aren't downloading/uploading copyright content, and you are fine.
Yes, there are issues with this Act, guilty first being one of them, but at the end of the day, if you are not gettig copyright content, there is no risk.