Oh please
Firstly, there's no such evidence; secondly, no one is suggesting that taxation alone will do the job.
You must have missed all those freedom filled managed economies of the last 60 years

Taxation won't do the job at all, what we need is to bring the bottom up, not drag the top down, unfortunately many of the tools that did that in the past, such as grammar schools, are opposed by the left.
We need a good education system, not one where everyone is told they have succeeded. We need a society which accepts responsibility for itself at both an individual and a community level, not one where everyone tries to make 'the state' responsible and demands someone else pays for it.
Above all, we need to drive equality through achievement, not through authoritarian economic policy.