No solution means not telling these people at all that their ideas aren't going to get them anywhere and letting them fester in their hatred. I agree that it could be done without the vitriol. Not entirely sure how, but I agree in theory that it's possible.
But objectively speaking, the incel viewpoint is more caustic than the common reaction to it. I'm not saying that people who identify as incels deserve it, but they really oughta know better.
This is essentially modern heresy in action. Social cohesion is far more important than both your obstinacy and your problems, and if you persist, we will burn your ass at the stake. It's ugly, it's sad, we wish we didn't have to do it, but it reflects the reality of society.