You can have proper workshops/apps/meetings to discuss these things and gather input from all employees in a way that doesn't disturb the regular day-to-day work.
The problem is that discussing politics at any time in your workplace to people that have opposite views and/or don't want to discuss politics at that time is counterproductive.
I think I can agree in the affirmative with the first sentence, not so much the second one, with the context of my original comment in mind. If your company is demonstrably involved in issues that affect global, heck or even local politics, speaking to those affairs is an imperative.
Whether or not people enter those conversations with the intent on solving problems and actually discussing in earnest is where things get weird, admittedly.
The problem is that discussing politics at any time in your workplace to people that have opposite views and/or don't want to discuss politics at that time is counterproductive.