yes some of the provocative imagery is non-productive in public spheres outside private circles.
As a remedy, I recommend everyone on the left read George Lakoff's book "Don't Think of an Elephant." It's a guide for how to communicate effectively, especially to people who have a vastly different worldview from themselves.
He's been consulting to organizations for a long time and these books are the distillation of his knowledge in plain language.
Preview:
1. He makes an (obv simplified) model of left vs right communication as "nurturing parent" vs. "strict father." There is obvious overlap - it's a model, but you can see how much this explains as he develops it a bit further.
2. He talks about a "staining" or "triggering" effect when communicating. what does that mean? people have key words that instantly shut down their thought, preventing useful discussion. For example, immediately upon hearing the words "trans," conservatives might picture a man in a dress molesting someone in a bathroom. Similar for leftists when they hear a word like "corporation" or "business." So he teaches how to communicate without stumbling on these.
Citizens in a free society do not temper their criticisms for fear that "the government" might get mad about them. Donald Trump's science policy is destroying one of the key components of American power, and if he doesn't like people posting evocative images about that he'll have to get over it.