Make sure you focus your anger appropriately. This is in my realm of interest outside of firearms, and I have been keeping a very keen eye on it. This is crap legislation (though it hasn't passed yet, and isn't likely to - it still hasn't been put to a full vote in the Senate and a House version isn't even on the table yet - just not enough time to get it all done within this Congress). It's not about "any website" though. It's targetted at websites where "copyright infringement" is the "central theme". I can tell you the #1 website this is aimed at: ThePirateBay.org. They might as well have spelled it out in the bill. My bet is the site is going to live on regardless of what they do. You can't put the genie back in the bottle. TPB has been getting email threats for YEARS to no effect. The founders were fined millions and they scoffed. They have been IMPRISONED in Europe and guess what? The site is still chugalugging along just as strong as ever.
What really, really (REALLY) aggravates them is that The Pirate Bay, like most of these sites, are not in the US. They can't directly shut them down - they can only try to get foreign governments to help (as useless as that is). Thing is, there really, really isn't much they can do. When you start getting into things like TOR, FreeNet, and just basic encrypted proxies, it's trivially simple to defeat just about anything they throw up. They might as well be standing on the river bank yelling for the tide not to rise.