If they were misinformed then it was willful ignorance. Anyone with several functioning brain cells could see that it was an idiotic idea. And then they had an infinite number of opportunities to roll it back, but they decided to swim to the bottom of the boiling lake instead of just saying “maybe not.”
The people who heard Gove say they’d “had enough of experts” and thought: “yup that’s me, I hate people who know what they’re talking about”.
It’s obviously condescending to say that it was stupid. But what’s the more generous read of it? A spiteful protest vote against social progress? There could conceivably be coherent arguments for independence, but certainly there weren’t any anywhere near the leave campaign.