The Eagles situation is a lot different as it involved the passing of a founding member and he was replaced by his son and a highly respected country music legend in Vince Gill.
The Mac situation had to do with a very complex set of personalities and events most of which are likely unknown to the public.
I've been reading some of the posts on the Fleetwood Mac forum and wow there is a lot of angry folks. I get it. I felt that way when a similar thing happened to two of my favorite bands: when Mick Jones was kicked out of The Clash and when Fish was "fired" from Marillion.
Lindsey, while not the best songwriter in Fleetwood Mac, was the creative driving force without a doubt. That being said, the new FM lineup is likely to be a completely different beast than the soft yacht rock of past tours.
Look for Neil and Mike to instill some much needed energy into the tour. I see folks posting that they expect very few if any Neil or Petty songs but I bet you will. Maybe even a Split Enz song (Message or I Got You would sound great with the Mac). It's obviously going to be mostly Mac songs but I could see 1-2 songs for Neil and 1-2 songs for Mike. Maybe even a mid-show segment for that.
Few have mentioned the events of last year related to the Buckingham/McVie album. That album was supposed to be a Fleetwood Mac album but Stevie Nicks refused to participate. In retrospect, that decision hinted at a large strain in the band.
In prior years, it would be unthinkable that Stevie would refuse to participate in a project if the other four members (especially Christine) were on board. I suspect that there's a lot more to the story than we know at the moment.