But these people would do well to remember that the bulk of the public they are trying to convince are not ideologues as well.
The well mannered majority may not know best but it is what is ultimately making the decisions.
I think a large majority of the arguments here are folks looking at this through an engineering lens, trying to optimize the workplace at the cost of minorities or discriminated groups, but shouldn't this be the other way around? Workplaces should instead be optimized for everyone to be able to work there, and inclusion is an important part of that goal.
The ideologue does what the ideologue does, and campaigns for change. That's as you said, their role is to believe that change is possible, and that their efforts will contribute to bringing it about. And the whole point of theirs is to reach out to the non ideologues. The fact that there's some bad actors out there that either die to incompetence or maliciousness make a mess of it doesn't mean that the ideology is flawed.
A line is crossed when they come into the workplace and make wrongthink a fireable offense. The proper place for these things to be worked out is, for the most part, in the media and on discussion boards like these. Or in private conversations like the bar. The key to understanding this is in the word "workplace": it isn't the "socialjusticeplace" or the "inclusionplace".
Conservatives have their place too. The role of progressives is to introduce new ideas. The role of conservatives is to present the argument about why these new ideas might not work. "Change" is not an automatic good. For example, all of us will undergo the change from "alive" to "dead". Personally, if it were within my power, I'd prefer not to undergo that particular change.
If I could wave a magic wand and create a space for conservative and liberal ideologues to beat each other senseless, and leave the rest of us out of it until the winner is decided, I would certainly do so.
When you contend (at work) that some of your coworkers ought to be second-class citizens and be considered inherently inferior due to their biology then you absolutely should be fired. That is in clear violation of most companies' very reasonable policies. This isn't merely "stating why new ideas might not work" (also, people's existence are not "new ideas"). Furthermore, spreading these negative attitudes about your coworkers very likely contributes more negativity to the workplace than arguments that workers should be treated with similar respect and dignity.