European Internet users could be blocked from lawful activities by mandatory spyware, in the interests of their security. The right to use free software for internet access would therefore not be assured anymore. The neutrality of the Internet is also directly attacked, as is the principle that technical intermediaries have no obligation to prior surveillance of contents. Other amendments will de facto enable administrative authorities to obligate ISPs to work with content producers and rights-holders' private police, including the sending of intimidating messages, with no judicial or regulatory oversight.
These measure goes further than the French "graduated response" project, which has been subject to widespread opposition, including by the European Parliament on April 10th. That is undoubtedly why those amendments have turned up on early july, and why those drafting them use subtle rhetoric and crossed-references to make the overall text harder to understand (more than 800 amendements on 5 directives were tabled).
This is really serious: I urge you if you possibly can to write to your MEP. You can do it using the fab WriteToThem service, which makes it as easy as can be. Make sure it gets to them before July 7th (yes, it's tight – that's how sneaky they've been).
If you don't know what to write, here's a great letter you can use as a template.