Is misandry something that's systemic or institutionalized on any level? Certainly there's a much stronger case for it to be as such than misogyny for sure. Misogyny is constantly recognized and has action and activism taken against it, whereas misandry nearly never does and there's people who either deny it exists or claim it's not systemic like misogyny supposedly is. I don't believe misogyny (at least in the West) is systemic in any way and I'm not so sure I'd go so far as to say misandry is systemic but there's certainly far more compelling evidence to suggest it than for misogyny. Men still have to register for the draft and can face legal punishments for not doing so, boys continue to do poorly in schools due to bias and often comprise much more dropouts, society still fails to recognize violence against men (especially by women) and constantly minimizes it, it's socially acceptable for men to constantly be hated on and vilified (with garbage like the Gillette ad), the rhetoric of "believe women," etc. among many other examples. And of course how infamously biased the court systems are against men and how due process for men who are potentially falsely accused often completely disregarded.

Misandry is definitely heavily entrenched in society and enforced, and we see much of it in the government as well. If not outright systemic, at the very least it's been allowed to run rampant and unchecked, and will only get worse as long as people don't take it seriously. It's like a cancer that continues to grow bigger and gets more malignant to the point it's unoperable and kills whatever body it's destroying. It's truly infuriating beyond words to see people deny it being real or serious. To me it's akin to someone who gets a life-threatening wound or injury requiring urgent medical attention but the person refuses treatment and the effects just get worse overtime to the point the person dies. That's what ignoring a problem does.