His logic, rationale, and evidence are worthless when his evidence is fabricated and/or cherry-picked and his logic and rationale stem from a pre-drawn conclusion incompatible with the existing evidence.

If he wants to focus on encouraging Americans to live more healthily, that doesn't need to come at the expense of vaccines. Further, he wouldn't be focused on areas of questionable or marginal value like food dyes, but on junk food as a whole. And if you want to focus on junk food, the place to start is economics: junk food is cheap in both time and money, and a financially-struggling population lacks both.