Advocating 'fairness' is easy but living it is different.
How many white people should give up opportunities because of this injustice? Not all of them, surely, but just certain ones...which ones? Who decides? What's the criteria? Which opportunities should they give up?
What about blacks in professional sports...they're overrepresented in basketball and football. Should they give up their opportunities in professional sports to help get a more 'fair' number of whites and asians in to the leagues? Who decides what's 'fair' here? Etc.
Let's make this personal. I went to a good college and got a good job because my parents' values and socioeconomic situation allowed me to.
Should I have given up my seat at university, or offered my job to another person who wasn't as fortunate as me?
Before you say yes, ask yourself if you would have done that. And regardless of what you say (or what I say) saying you/I would have done something is very different from actually doing it.
Recognizing systemic injustice and working to remove it is very different from demanding people change the way they act, when that demand is not something we would ever actually accept ourselves.