This hatred for Malachi is random and irrational. Rumfoord is also extremely wealthy, so why waste your time doing this? I'll tell you. Perhaps it is human nature to try to feel the most powerful and the strongest. Perhaps Malachi was a threat to Rumfoord, although there is no clear reason for this. Later in the book, Rumfoord is to say such things as, "We damn Malachi Constant for wallowing in filth."
Then I look at the positive of this hatred. Rumfoord brainwashes Malachi into being in the army of Mars. This army attacks Earth. The end result is that this unites the people of Earth, thus eliminating wars. It was Rumfoord's hatred that brought world peace. But is it world peace?
Let me relate this to real life, the U.S and the Soviet Union were united to defeat the common enemy, Hitler. The two biggest powers in the world work together to solve a common problem. By Rumfoord doing this to Malachi, he is getting rid of the biggest threat to mankind: Advantages. Rumfoord hates Malachi not because he is rich, but because he is rich and he doesn't deserve it. He didn't work for any of it, and it was all luck. When you get rid of Malachi, you get rid of greed. When you get rid of greed world, your problem is solved.