I think that's an interesting point.

But I wonder just how much equalization of "opportunity" would be needed to reach an acceptable equality of outcome.

As an extreme example, could it go so far as to prevent some parents from passing on their values to their children?

E.g. if being of a certain religious viewpoint was negatively correlated with whatever measure of "outcome" was currently in vogue, would equality of opportunity mean barring its adherents from having or adopting kids?