My objection to the concept of white fragility is the constant talk of white western people. When in most case what both of you are talking about is really conservative Americans.
It isn't whites in general nor is it westerners in general. The extreme individualism you prescribe to whites, is something I also perceive as a foreigner looking at America.
To me it isn't a pattern of thinking tied to somebody's skin color. It is tied to the ideologies that America was founded on and American culture, specifically conservative American values.
This "all I see is individuals, why are you talking about groups," is a sentiment I primarily encounter when discussing politics with conservative Americans.
Yes sometimes talking about the west makes sense, because there are some shared values. However I find that in America there is a tendecy to equate western with American.
And it is also causing non-westerns to equate anything America does or think with what westerns in general think or do. And in particular today with Donald Trump and previously with George W. Bush, the ideological gulf between the other westerners and America is increasing and speaking of the west in general makes increasingly less sense.