Exactly how would Tor or a Tor Client be used to circumvent these measures? For instance, using Tor with Firefox still requires the use of a third party BitTorrent client in order to download movies or music from a site such as PirateBay, KickAss Torrent, MiniNova, etc...
About the only thing I can think of that can be downloaded using Tor are pix or documents or files of some some sort that have a normal browser download avenue. Otherwise, you can use Tor all day long but, as soon as you start downloading with your BitTorrent client, they got 'ya.
The old, and discontinued, OperaTor may have worked for what you are suggesting because Opera has a BitTorrent built into the browser and you would be using Tor and Opera and the BitTorrent client simultaneously but, it's not available any longer.
I used to get "Violation Notices" from Charter all the time but they never did anything. They also aren't currently on the list of ISP's that have joined this exercise. Nevertheless, the notices did kind of scare me, so, I started using the BitTorrent client called Transmission, coupled with IBlock List and haven't had another warning since.
I'm assuming this method will continue to work.