Should we have a Jury for chronic alerters?

I don't mind, actually enjoy, serving on juries. But a large number of alerts lately have been, in my, opinion, completely without merit. Some people are obviously using the system to try to censor any comments that don't promote that person's personal agenda.
Should there be a limit on how many alerts someone gets in a 30 day period, similar to contesting fouls in sporting events?
Or, perhaps, have a person lose their alerting privilege for a period if they have too many alerts overturned.