Fight fire with fire. You are perfectly entitled to call a general meeting to sort this mess out once and for all, sending out material explaining why you have made the decision that you have and rejecting the rogue member’s case.
If this rogue member is a persistent nuisance, you could also have a item on the agenda to declare his position on the EC vacant (although that will require a 75 percent vote). However, if working with him is intolerable, you could make it clear that if you don’t get the support you require, you will all resign. Another way to do this is to declare all seats vacant (by the same vote) then offer a new team that has someone in the offender’s place.
One thing though, be careful what you say about this person in any literature you send out to owners … there is only limited ‘privilege’ in strata committee dealings and you could find yourself hit with a defamation suit if there’s even a whiff of malice.