Bingo! He approved tax increases. He compromised with a Democrat Congress to get things done. His ideology generally won the day... but he did have to make some concessions... remember amnesty? He held up his side of the bargain... Congress did not.
It bothers me when ideologues on both sides ignore history. It bothers me ever more when they try to change it.
The fact is that the tax burden on Americans of all strata was lower when Ronald Reagan left office than when he took office. Thus, Reagan was a tax cutter, not a tax raiser. And this doubled revenues over a decade (following the increases in revenues from the Coolidge tax cuts and the Kennedy tax cuts.)