It really is an almost impossible situation. The far right will win this one regardless what the government does. If they do nothing we will probably see some form of terrorism sooner or later, if they clamp down on it they will prove the activists right in that the government will reduce freedom of speech just because some muslims cant behave.
Maybe theres some way to eke out a win but I cant see it.
According to my napkin math it would take longer than an hour if the tape was ~3.3*10^218 sec long (or three million trillion trillion… (18 trillions) …trillion years). Assuming you have only have two options to choose between but can pick which alternative in in 5 seconds (2^720) and you want to get down to a 1 minute intervall.
So i mean its not impossible to find a tape long enough though it seems unlikely that we would be so off in our estimates of the age of the universe.