They would not stop there.
Our elected representatives are way too afraid of their citizens (which many of them would not mind if they could change those 'citizens' into powerless 'subjects'), and they've become obsessed with the idea of surveilling our every move. An idea that has been very actively encouraged by an industry that is more than happy to sell them the required surveillance technology for a lot of money. Money always wins, freedom (which can't stand without privacy) is screwed.
So, I already made up my mind upon the quick disappearance of any online privacy, here in the EU. The cloud I'm using (for its full encryption) won't be able to stand against the law (and it should not). So, the moment they introduce a law to force backdoors into encryption I've already decided to quit using any form of online storage and as much online services as I can (one of the reasons I I went back to reading printed books—yep, I'm that paranoid save that It's not being paranoid at all).
Those wannabe EU dictators, worrying so much about our own well-being (as no one in their right mind would express any doubt about their true motivation) they can go funk themselves.