"We could do politics in a way that white people would not be so swayed by their baser instincts to go for the racist option in SUCH large numbers" doesn't seem particularly inflammatory, to me.
The "economic anxiety" catchphrase has always been an incomplete straw man of the Leftist position, which is that material conditions create population-wide probability spaces where people, as a group, are more or less likely to embrace racism, xenophobia, and other bigotries as explanatory heuristics for a more generalized, subliminal sense of the relative health of a society's present state of being, and its trajectory. Good work can be done on the individual level to hold people accountable for their shitty views, to deradicalize them, but in the absence of a political program that genuinely cuts through the sense that things are "wrong", that something is broken that needs to be fixed, it's incredibly hard to prevent the dark side of human cognition from asserting itself en masse.
Socialism won't fix prejudice overnight, perhaps not ever. But it can do a lot to make it harder for those who hold such views to keep replenishing their numbers, to make Right-wing radicalism seem like a compelling solution to what ails us a people.