That happens to me sometimes too, it annoys me that my emotions react before my brain can sometimes, but I try very hard to avoid that.
And of course we can only control our own reactions, not that of others, so we can model a good way to deal with disagreement, but if we piss someone off by disagreeing with them we have to work within those constraints. If there are people everyone is tip-toeing around then that is a problem your organization should fix.
The passive aggressive stuff, the agreement at the meeting and later dissenting in private with others, the unwillingness to even engage in a discussion. That stuff is poison and you really need to fix it if you can. Not always possible to fix, but always a source of problems.
