I don't hate privileged people. In a way, I believe that privilege is somewhat relative.
Compared to an industrialist, I am someone from a lower privileged background. Compared to a homeless person, I am probably the most privileged person in the world. So when I am hating an individual for having more of something than me, I am also leaving the door open for many to hate on me for that very reason. After all, privilege is something we can only see in others when we are not standing in the same line or not from the same level of privilege as they are.
What does bother me, however, is when people use their privilege to belittle others, or deny the impact their privilege had on their success. No one will ostracise them for being privileged and admitting that their successes came through that privilege. But when these people are so ignorant of the fact that their wealth, power, or family name had a part to play to get them to the top, that's when I really start to dislike them.