Bayesian reasoning helps here, I think, because people are wrong, and different people are wrong with different probabilities. For example, overturning mass-energy conservation because someone said they saw a professor turn into a small cat or a strange spacecraft appear and disappear is not reasonable: The probability of one person being wrong or insane is a lot higher than the probability of something really well-verified being completely incorrect.
Is it political at times? Yes. Can it be improved? Sure. But it is flawed, not completely broken, and I think Kuhn makes too much of the flawed-ness which encourages people to imagine that it's completely broken and therefore the next paradigm shift will validate homeopathy.