I spoke to one of my FWB about this earlier - he is dual heritage, and expressed quite strongly that he felt I (and by extension I suppose any other woman in the same position) should be extremely cautious about challenging views like this in a dating situation, even if we feel it is safe to do so at the time (in a busy public place for example).
Paraphrasing a little, he said that, as I have not grown up a target for racism, I underestimate the degree of hatred/spite harboured by (some) racists, and the lengths they might go to to act out this hatred. He pointed out how easy it would be for someone to follow me back to my flat, for example.....
I don't know how I feel about this, just like I don't know how I feel about the "ordinary" (except they are not ordinary, are they? Or they shouldn't be!) precautions we have to take as women to keep ourselves safe from mysoginistic hate crimes...
And in a sense, it's "easy" for the men who care about us to advise excessive caution, elaborate safety checks etc, because they are not the ones compelled to live their lives like this.
(Though in the case of my FWB that's not fair & he obviously does know what it is to have to live his life constantly vigilant for racial hate - I remember the first time we went to my local pub together, for example, him expressing relief that there was a group of black lads and white lads drinking together outside, as it implied we'd be unlikely to draw disapproval as a black/white couple..... )
Sorry, that was a bit of a pessimistic ramble