There are a lot of reasons to be skeptical of this claim. For one thing, it's not clear that trump voters respect protestors in the first place. For another thing, we're an extremely geographically distributed population, and most of our cities already swing strongly blue. This means protesting is generally a high-effort, low-return activity.
Whatever will provide friction I do not know, but I don't think protests are going to play a major role outside of maybe providing a narrative about how angry people are. But it's important to note that a significant number of people vote for Trump because he makes certain people angry.... If the right people "protest" in a ridiculous enough manner, you're going to likely strengthen the resolve of his base. Granted, I suspect this isn't much of an issue with science funding, but it's something to keep in mind.
My attitude is: if this country doesn't want science research, let it, follow the research overseas, and let your absence speak for itself.