Whilst I think that this group are very well meaning, I can't see that they would be successful in a bid to take over the running of a rail franchise. The main reason being the lack of an obvious financial backer or any sort of financial security.
Generally, there's a lot of naivety in public circles about many things, and how a railway works, day to day, is one of those things. There are many reasons why trains can be cancelled - TOC's don't do it for fun. There are rules, regulations and laws that must be followed in certain instances.
Another general moan in public circles is that train run late. As those more familiar with railway matters know, there are a multitude of reason why this can happen, but in the south of England, trying to cram "X" number of trains through a largely Victorian rail network that's had little in the way of significant investment for years, is a major factor.
Of course, there are the simplistic answers of "put more carriages on" to "solve" overcrowding, (without addressing the small matters of platform extensions, signal overlaps, depot constraints, costs of purchase/maintenance etc).
These are just a very small selection of the things that any TOC has to consider. One wonders if this group have given serious consideration to the magnitude of the task they are hoping to take on?