Perhaps we need some sort of "cry wolf" doctrine, where you can sue an entity for "suing people too often for spurious reasons" and, if proven (e.g. if 99% of their proposed suits would have been thrown out of court if they had gone to trial), remove their ability to sue others.
I meant "thrown out in preliminary hearing." You can work through 100 preliminary hearings (especially when it's essentially the same suit, just with different subjects) pretty quickly, especially if you parallelize it across a bunch of the judge's analysts.