First issue - outside of "my IQ is..." bragging rights, intelligence is multi-dimensional. If not fractal. The IQ-ish dimensions are usually overrated - especially by folks for whom that's their strong suit, and by the young. Vs. the emotional maturity, big pictures, and wisdom-ish dimensions are really seldom understood, let alone mastered, until your later years.

There are some old proverbs about the wisdom and (un-)benefits of winning arguments with your wife. Beyond your need to be right about things, how much skin do you & yours have in the game on things that she's "wrong" about? If it's "homeopathy would be better than vaccines for our baby"-class stuff, that's probably worth arguing. Vs. she doesn't understand e=mc^2, or believes most politicians are well-intentioned, or knowns that your favorite football team isn't worth watching? Those really aren't worth fighting over.