I disagree with your assessment that we live in an environment of prevalent racism. All around me I see people who chose to focus on success rather than victim-hood, and they are thriving. There is absolutely no upside to perceiving yourself as (or acting the part of) a victim.
Here is an important truth that is hard for many people to accept: Life is not fair. I have certain advantages, and I also have certain disadvantages. So does everybody. Each one of us must make the best of our situation given what that situation is. It's great if we have the energy and resources left over to help others, but that's not an obligation.
As an Arab American, I feel that racism has not played a meaningful part in my life at all. I never had a problem making friends of all races, didn't have any trouble in school, didn't find it particularly difficult finding a job, and I've never felt out of place in any of the numerous organizations I've been involved in (volunteer work, atheist activist groups in my youth, chess and sports club, etc). I have experienced a lot of trivial racism. For example, an old woman once bitched me out shortly after 9/11 for being an Arab because "we all have the seeds of terrorism in our hearts". I just laughed it off. I have honestly experienced more racism being from a Palestinian ethnicity living in neighboring Jordan (where more than half of the population is Palestinian).
My cousin, on the other hand, sees racism everywhere. It is the reason for every negative thing that happens to him. A bad grade on an essay? Racism. Didn't hear back after applying for a job? Racism. Neighbors told him to turn down the music at 2 am? Racism.