Loaded question, but more yes than no. In the end, wealth for the median is a function of the size of the pie, and that requires rather vigorous supply side policies. The most critical of those is revamping our secondary school system from root to branch.
Sorry, but you are wrong on two counts - 1) Keynesianism delivers much stronger overall pie-growth than 'supply-side' polices, and 2) revamping the secondary school system would be closer to a Keynesian policy (government expenditure) than a supply side policy.