I would like to emphasize that I personally do not lack trust in this ♦ mod, nor do I wish for his removal. As such, I will not be mentioning the mod's username. While it is possible to work out who this mod is from this question, please don't.
I have been noticing that several members1 of Role Playing Games do not trust at least one of the three ♦ moderators on the site. The moderator in question was instated four years ago, and is the longest running moderator on RPG.se. The majority of the currently active users were not present for his election.
Here's a relevant quotation from a recent meta discussion:
@SevenSidedDie: The existence of this very meta question is the assertion by (14-2) members of the community that some sort of due process breakdown has likely occurred. Please don't dismiss that out of hand. – TuggyNE Oct 8 '15 at 23:54
I have been seeing these members complaining in chat that, as Role Playing Games is a relatively small stack, which is not frequented by many of Stack Exchange's staff, it would take a long time of compiling all of this user's posts as they happened (comments are usually purged after about a day) in order to demonstrate that this ♦ mod is not, or is no longer an appropriate representative of the community.
On smaller stacks, what should be done, either by an individual, or by a group within the community when its faith in the moderation team falters?
Preferably, answers should cover what to do as someone who does not trust the moderators as well as what to do as someone who does, but sees a significant portion of the community which do not.
1I am not a member of this portion, and do not know the particular ♦ moderator well enough to judge his actions.