Why would the government intervene?
I amazes me that people on this forum believe that, outside London, railways have any relevance to the transport needs of the UK. By far the cheapest option for the government would be to watch the railways wither, with the convenient excuse, "it wasn't us what dun it, it was the unions".
This may be a little extreme, however there's truth in there. Even in London the position of rail isn't as strong as some like to think, especially if recent passenger number trends are maintained. I've just travelled the length of the country by road, as well as making some longer distance rail journeys. There were crowded trains, but there were a lot more people travelling by cars.
I recall in the mid 1970s strikes hit London rail commuters. Life carried on. I still have a copy of an old map from my employers' emergency transport control room where they planned and directed special coach services to get staff into London from all points of the compass. The greater numbers and wider dispersal today would make it more difficult, but given time it could be done.
No stopping services are to be provided to Hope Valley line stations through the Peak District on Saturdays until October. Previously the same has happened in mid-week, although East Midlands helpfully stopped a few extra services. Life carries on. The roads are imperceptibly busier, and some visitors stay away. Commuters will use their cars or make alternative arrangements. Those altenative arrangements will prove better for some and they may not return to rail - as seems to have happened in the south.
Stone and cement trains get more reliable and quicker paths, so rail does have a place. As long as the dispute is limited to Northern the longer distance services of other operators can better keep to timetabled paths, freed from Northern congestion. We should be trying to woo more traffic to railways, shouldn't we? Maybe it's a cunning plan to consolidate on longer distance routes?
The strength of these forums is the amount of very detailed knowledge of the rail industry provided by present and former rail employees and railway enthusiasts of all ages. The weakness is the very same. Opinions here are not representative of those paying to use the services day in and day out.
I suspect the average rail passenger is at least a generation younger than the average forum contributor. Nostalgia and entrenched attitudes aren't necessarily in tune with future passenger needs.
(I know, many here are travelling on a variety of passes issued to past and present rail people, but that's the point. We're preaching to the converted.)