Since this forum is dead, I hope this somewhat controversial topic will lead to somewhat civilized discussion.
To answer my own question:
I sure as hell don't feel guilty for being white. It doesn't make any sense whatsoever. Why should I, a person who was born in the late 20th century, feel guilty over the actions of some people who lived in the 19th century or early to mid-20th century just because we belong to the same race?
Should Turkish people feel guilty for the Armenian Genocide carried out by Turks in the early 20th century? Should Japanese feel guilty over the actions of the Imperial Japanese Army in the 1940s? I say no.
Every racial and ethnic group has blood on its hands, so there is no use feeling guilty about it. Humans can be really ugly sometimes, but people shouldn't be blaming themselves based on the actions of some people in their same ethnic group.