Totally agree police departments need better candidates but that intelligence thing is not true at all. The one case that started that rumor was just a police department doing age discrimination against a candidate, and covering their asses in the lawsuit by using intelligence because it's not a protected class. It was never about intelligence - it was age discrimination.
What police departments need is better training, a smaller mandate (i.e., mental health professionals need to be called to those types of events), and a big enough cultural change that normal people at least consider doing the job, like firefighters.
It's not even just that they're at the margins, it's also a math problem. One bad actor can sexually harass hundreds, perhaps even thousands of women over the course of many years. Now make that thousands of men, and see how it's very reasonable that 1 in 2 women or whatever it is have been sexually harassed or assaulted - and that can still be less than 1% of the male population doing it. Anyone who doubts women get harassed or even assaulted often needs to have their head examined. There is a guy in my neighborhood currently who has not been caught who is following women while in his car. The neighborhood listservs are awash with women who have noticed this guy. There was another guy who was groping women on the trail who affected multiple women before they caught him.
And this is not just sex crimes. Recently, they arrested a group of car thieves/car jackers in my area. The four of them were responsible for over two hundred car thefts, and possibly up to three hundred additional unaccounted for crimes. And that's for a very visible crime like stealing a car - imagine the numbers for something like groping someone on a crowded train or bus.
This is why people who say stuff like, "just teach men not to rape" are as insane as saying "just teach minorities not to steal cars". It is a tiny portion of the population having an outsized influence because they can harm multiple people. When you start blaming a group for the actions of a tiny portion of that group, you're just lost.
I mean sure, call out crime in general when you see it, but I have seen this type of harassment probably a dozen times in my life. And it happens all around, dozens of times a day.