I don't understand how you can be against what seems to be a completely reasonable proposition to me, that everyone should get a fair chance, regardless of where they start from.
I don't see any of this as making it harder for rich children to get a good education, except to remove situations where they currently have an (in my opinion) unfair advantage, like expensive tutoring aimed towards helping them pass exams, which is not available to many.
In fact, the precise aim here is to help bright students get good grades, and dumb ones get bad grades, which is the exact opposite of the comparison you seem to be making!