A better question is will this stop terrorism? If the answer is no, or unlikely, then it's just yet another inconvenience (and invasion of privacy) for lots of innocent people.
What problem is being solved then? In the best case it is simply power tripping busywork that makes the world a little bit more annoying.
This is another measure that endangers the innocent and still does nothing to stop the baddies.
Do you want to live in a police state? How will this benefit European people?
This rubbish is what leads to civil wars. You (and people like you) think you should know everything about everyone. People fought and died to protect Europeans from that.
You want to go back to fighting for basic rights that were hard won with peoples blood.
*Posted from my pre-elop nokia w/ a an anon SIM.
If not, why not?
I doubt this will solve much terrorism-wise though. You can't expect phone shops to verify the validity of every foreign ID and address, just supplying fake data wouldn't be hard (and probably go unnoticed until it was 'too late').