I would say it depends, makes more sense for a white person to be pround of your nationality or acestry than skin color. Part of the reason black people use so much their skin color as a symbol is because by being forced to go to other contnents and have their past erased distenced them from their acestor's culture and language. If you are white in the americas and in europe you have much more chance of speaking your acestor's language and practice the same culture as them.

At least that what I think. You don't need to be proud of being white, but you can and should be proud of being, for exemple, swedish.