It’s a ‘deplorables’ type moment. You won’t win over people speaking to them like that.
With that comment you just lost your credibility and obviously trying to make this political, poorly.
It's also not a headline, it's a tweet. Twitter is quite clearly aimed at those already listening to the FDA, not trying to win over crackpots who won't listen anyway. Again you are taking something out of context and getting offended by it, showing some personal investment in the anti idea.
If you want respect from mainstream society and not be treated like a joke, don't act like one in the first place. Govs don't reason with extremists, they just deal with them by ignoring them, mocking them or education programs, arguing with someone that's nuts never works. If you think someone is going to apply reasonable conversation when the opposition starts from an irrational point of view, well you might be kidding yourself. They get air time from media as they attract attention with their far out views, but even the media showing them often mocks them to the face with the tone of interview.