I'm not entirely sure how to phrase this, but I want to clarify what you meant. You wrote: "If men discussed women the way women discussed men, the men would be accused of misogyny." You said this because you witnessed women objectifying men and talking about them in a sexual way, and you felt that was hypocritical — well a "double standard" - as though it's considered acceptable for men to be discussed like that. Is that right?
However, imagine the reverse scenario: a group of men loudly objectifying women in a public space and talking about them sexually. Most people don’t have to stretch their imagination — it's a situation many have seen. And yes, in that situation, many around them would see their behaviour as misogynistic.
So here’s the point I'm trying to make: what exactly is different about these two situations? In both cases, there's a group of people speaking disrespectfully about another group, while others nearby think their behaviour is wrong and inappropriate.
It's not as though men who speak poorly about women are always confronted or shut down, but women who speak poorly about men are always praised or encouraged. Neither of these is universally true.
Ultimately, it sounds less like you're objecting to loud, disrespectful behaviour in general, and more like you're uncomfortable seeing women behave in ways you associate with men. The core issue isn't a "double standard" — it's that objectification and disrespect are wrong regardless of who does it.