From what I understand, the vast majority of crime more generally is committed by a relatively small proportion of people in a population. Maybe sexual harassment is different, but it is an empirical question.
And not an easy one to answer, apparently, partly because of difficulties in obtaining reliable estimates and partly because of a shortage of studies.
So with both of those as important caveats to keep in mind, I found this:
We Asked 615 Men About How They Conduct Themselves at Work
https://www.nytimes.com/interactive/2017/12/28/upshot/sexual-harassment-survey-600-men.html
So 1 in 25 men (4%) self-identified (anonymously) as harassers.
12% self-reported engaging in at least some (3) of the actions deemed to be 'objectionable'. When 'telling sexual stories or jokes that some might find offensive' is excluded, this went down to 6%.
38% of blue collar workers and 24% of white collar workers admitted to engaging in at least one of the behaviours deemed to be objectionable or potentially objectionable.
Allowing for under-reporting, it's possible these figures are artificially low. On the other hand, they include behaviour which could be said to fall below what might reasonably be described as 'harassment' so they may also be considered high.
Anyhows, at least the study/poll offers some numbers.
It seems to me that whatever way we slice it, it's very likely a small minority of men who are harassers*. Which imo is what makes statements like
'men need to step up and take responsibility for what they perpetuate in the world' deeply problematical, and I have no qualms about using the word deeply.
Added to which, there is recent evidence that a hitherto shortage of studies into harassment/assaults on males (by men or women) or by females (on men or women) indicates that they are both much higher than was commonly supposed, however counterintuitive it seems, especially when prison environments are included, albeit still lower than for men on women. Furthermore, when the criteria are widened to gender harassment/bullying/abuse in general, it seems to be accepted that for instance schoolgirls are as 'bad' as schoolboys (when considering behaviours towards both boys and girls which has a sexually pejorative aspect) albeit in different ways. I can provide links to material I have read on the above if requested.
All the above taken into account, the question still remains as to whether men should try to do more to alleviate the problem. So while it might be awry to say,
"men need to step up and take responsibility for the burglaries they perpetuate in the world", it could still be good to say,
"if 80% of half the population are getting burgled by at least some members of the other half, it might be useful for the other half generally to pay more attention to that and try to do something about it", and possibly ease back somewhat on the sometimes incessant
'my half of the population gets burgled too' because (a) it's about half as often and (b) not as severe. And because women, it seems, suffer this particular problem disproportionately, the simplistic
'let's not make any group distinctions between the two halves' is of limited use, particularly when it is derived from a position that is bankrupt because it is inconsistently applied to suit.
in other words, it shouldn't be
that hard for men to at least offer some, or some more, support (how much is obligated or reasonable is up for grabs) even just in words on an online forum, even if one has reservations (and I have reservations, and many women and indeed some feminists have reservations about things like metoo) instead of mainly focusing on objecting to the particular propositions or aspects of them that one sees as unfair. The OP article in the 'men need to step up' thread is a case in point. In that, the writer makes it explicitly clear that she is only referring to a small minority of men and that she is explicitly not disregarding the suffering of male victims.
* In the 'west' at least. For comparison, this study revealed that 64% of Egyptian men, for example, self-identified as harassers (and the figures were similarly high in Morocco, Lebanon and Palestine):
64% of men admit to harassing women in Egypt’s streets: report
https://www.egyptindependent.com/64-men-admit-harassing-women-egypts-streets-report/