As government grows to larger and larger shares of the economy, the disparity between the top earners and the low earners will increase.
Big government rewards the few and enslaves the many.
If people want to tighten up the income distribution they need to shrink government. Big government always sets barriers to competition promoting oligopoly. Without competition, the companies paying lower wages can’t turn their competitive advantage into beneficial market entry and hence can’t siphon the froth to lower income workers.