There would be an outcry if FM were dropped in the UK. I expect a large percentage of people still use analogue radios in their cars at least. We do have a couple of DAB radios at home. You say FM took over from AM in the 30s, but I can remember the UK national Radio 1 moving to FM and I'm not that old.
There is really an outcry here in Norway as well. Most people have accepted the fact that the FM radio would be gone, and most people bought a DAB or DAB+ radio it seems, but the problem is that most channels have stopped broadcasting on regular DAB as well, so every needs to upgrade to a DAB+ to get the most common radio stations now.
It is actually pretty funny to see all the debate going on in the media these days. There are multiple articles on the matter on most national newspaper today ;)
When you turn off one piece of kit and suddenly you realise something else was attached.
FM was invented in the 30s as an improvement on AM radio. AM is still around and has uses but its use is limited and its not as good quality as FM. FMs problem is that it got a limited spectrum and cannot handle many stations. There can be lots of interference.
There was a working group in the UK which recommended a move to Digital but the timescale has not been set and is much longer than what has happened in Norway. According to the FT article the UK Switzerland and Denmark are watching to see how the transition in Norway goes I assume to inform how to plan a transition in the UK.
It's on the way out its just a matter of when! :)
We still have some AM stations that are mostly news and sport I think. Music obviously benefited from the move to FM. We have loads of stations on DAB, but I'd argue that quality is more important than quantity. I know they just want to sell the bandwidth, but many will not get many listeners. I'm not rushing to get a digital radio in the car as I mostly listen to podcasts these days