The domination part is a foreign obsession and in particular british, not really a french thing. The worst years of french football were when everyone could win it around 2010 and people stopped watching because the football was dreadful.
As for the cheating/domination part, again no, Monaco was the target of the same minority and they haven't dominated. From what I see and hear a large amount of people don't like FFP, because it affects pretty much all of the french clubs, Marseille will have to get rid of a lot of players this summer, Monaco and Lyon have been in trouble too.
What people have an issue with is the inconsistency of Marseille, Monaco and Lyon over the years, the absence of a "top 4" and the fact that talents leave the league at the first opportunity. And also the quality of football in many games.
Edit: I forgot to mention that PSG are not cheating when it comes to the french league(LFP or DNCG rules), it's only a consideration when it comes to continental competitions.