You're really off base on the idea of "modern Western Feminism", because nowhere is feminism a collective of people who hate men and masculinity. Modern Western Feminism hasn't changed as much in the last century as most anti-feminists insist, core feminist philosophy is still essentially the same as it's always been. There are serious issues in western and most eastern society that prevent men from showing any trait, or emotion that can be even remotely perceived as feminine. This is because femininity, womanhood, and anything female is instantly classified as lesser and weaker by most of the world socially. Feminists are only radical because they want to do away with the idea of gendering everything, to break down the idea of stereotyping by gender, and to remove limitations on expression based on gender and biological sex. That is seen as a radical idea, but only because it challenges power structures that are traditionally dominated by men, men who desperately want to protect that gender exclusivity to preserve their own power.
Radical feminists are not strictly speaking radical, or feminist. They toss most feminist philosophy out the window in favor of biological essentialism, in an attempt to destroy the concept of "gender", for the sake of "equality". In reality what they do is counter productive to feminism, because their ideal sets gender rules and stereotypes in stone based biology. That's not radical, because it supports a patriarchal society geared to make femininity the lesser and masculinity the superior. This excludes men from feminine roles and expression, at the same time it excludes women from masculine roles and expression, removing any agency in gender period. Most "radical feminists" also tend to be sex negative, saying things like all heterosexual penetrative sex is rape, because women cannot consent, backing up the idea that female automatically means a lesser person. The reason being is that sex between a man and a woman, as a concept promoted by "patriarchal" types, cannot happen with out some sort of emotional, or financial coercion. Another patriarchal idea "radical feminists" support is trans exclusion and erasure, by making the genders exclusive to biology and thus separate on a fundamental level, removing all personal agency in relation to gender. "Radical feminists" also support the "patriarchy" by being excluding to sex workers, because sex workers, specifically female sex workers, aren't supposed to have the agency to consent. Along with that female sex workers violate very male ideals of purity and "acceptable" norms of female sexual expression. With all of that in mind, self proclaimed "radical feminists" are a very small minority, a sexist minority, and a minority that is generally ignored and categorized the same as the "manosphere", anti-feminists, and open sexists, by feminists and people generally interested in gender equality.
Feminists who follow actual feminist theory are actually very concerned with gender equality, with removing the walls of gender identity, allowing people to express themselves freely, naturally as feminine, or masculine they are, regardless of their biological sex. Feminism has made great strides in putting women on a more equal footing with men in many facets of society, but not all, and sexism is still a big issue. Another thing feminism has done and is doing, is normalizing masculine expression amongst women. At the same time feminism is trying, unsuccessfully to my mind, to normalize and detoxify feminine expression from men.
Which highlights a problem with feminism, that many take issue with as well, and is why I don't identify as a feminist. Feminism focuses almost entirely on the point of view as seen from the feminine perspective. While a patriarchal society is oppressive to both men and women, making unfair assumptions and demands of both. Still the assumption is that the problems faced by both men and women are entirely societal, when likely the problems are both nature(biological) and nurture(societal). This means you can't reasonably address problems men have in both femininity and masculinity, at least not the same way you address those same issues with women. A larger problem with feminism is that it's largely binary, thus it tends to let people who identify outside the binary fall through the cracks.
Still there is one problem with feminism that limits it's abilities to help, which is also the biggest problem feminism has. A large number of men dismiss feminism and feminist theory out of hand, without reading any feminist literature, or even listening to feminists with anything on their minds other than pure dismissive derision. That issue can be fixed by men, especially those in power, being able to take women and "femmefolk"* seriously, which they don't. The only way these societal issues can be addresses is equally by both genders and the gender nonconforming. At least that's my opinion.
That's also besides the fact that feminism in general tends to have issues with internationality, which I have touched on here.
*"Femmefolk" is a catchall term for everyone who expresses and identifies as feminine including women(both cis and trans), men(both cis and trans), gender nonconforming, and regardless of sexuality(hetero, gay, ace, etc...). Also important to note that identify feminine, or masculine, doesn't directly reflect one's gender identity as a man, woman, neither, or etc... Meaning men can identify feminine and still be men, while women can identify masculine and still be women, while those who identify as both are neither can still identify primarily feminine, or masculine, without it directly reflecting their gender identity. That's also regardless of weather or not the person is a masculine trans woman, feminine trans man, masculine cis woman, or feminine cis men, and etc... Confusing I know, but people are weird and identify in weird ways and express themselves in weird ways.
On a final note, the reason that feminism should does and should control a majority of the narrative is because of societal privilege. Men have a disproportionately high number of social advantages compared to women. Just for example: Women have to justify professional technical expertise more, women are more likely to be interrupted and spoken over in an office setting, and hell women are more likely to be experience casual sexual harassment more than men in public spaces.
These three Robot-hugs comics sum this up far better than I can. Weather it's in the tecnical [http://www.robot-hugs.com/technigal/], or professional workplace [http://www.robot-hugs.com/workplace/] settings, to just typical levels of harassment [http://www.robot-hugs.com/harassment/] that women face. I know I've posted a lot of these lately, but that webcomic has done a good job of opening my eyes to things more.
Anyways I hope that helps people understand feminism isn't some fascist conspiracy to destroy men, as it's often portrayed as.