1. Consider a religious congregation that worship a male deity, where only men can be priests because they're more like this god than women are, and in which the leadership opposes women's bodily autonomy.
2. Consider a religious congregation that worships a female deity, where only women can be priests because they're more like this god than men are, and in which the leadership opposes men's bodily autonomy.
3. Consider another religious congregation that worships gender neutral deity, where people of any gender can be priests, and that generally supports the bodily autonomy of people of all genders.
When some folks talk about the "War on Men," what they never seem to be talking about is situation number 2. To be general, they seem more to be referring to situation number 3. When such people reference a "War on Men" they're actually referencing a war on unearned male privilege and entitlement.
[ETA: An anti-feminist commenter below has taken it upon himself to comment extensively on this post. Unfortunately, when challenged with counter-arguments and expectations that he formulate clear, specific, and civil arguments, it seems he has chosen to delete his comments and place an "x" in each of his posts. Just letting readers know that I would have preferred to let the conversation stand as it was.]