Men "should" do whatever the heck they want to, providing they're not harassing/stalking/threatening/whatever women (and yes, I realize that what harassment is to some people is different than what it is for other people. If there's a question about whether or not what you're doing is illegal, I highly recommend not doing that).

Rather than approach the problem with the same "that doesn't work though" argument, I think instead I'll ask those feminists, and non-feminists where applicable, that hold the view of being anti-traditionalist what men should be doing instead of the more traditional strategies to attract, or otherwise start relationships, with women. To preface this, I will start by saying that I am of the belief that the present state of the world is such that men are expected to do the lion's share of the approaching and engaging. That even if we accept that the many suggestions of poor aggressive male behavior, such as cat-calling, are wrong it would appear that more aggressive men are also more successful with women. I'm going to use a bit of redpill rhetoric for ease of understanding. It would appear that alpha males are more successful with women, while beta males are not. If someone's goal is to attractive a suitable mate, then using strategies that are more successful would likely be in their best interest, and thus we're left with the argument that more aggressive alpha males are what women want in men. With that out of the way, I don't want to discuss that idea anymore. This is something we all have heard, understand, and some of us internalize far more than others. I want to talk about what men should do to get away from that dynamic, in as realistic and practical of a sense as possible. Lets say you've got a socially aware male individual that doesn't want to cat-call or do the 'naughty' aggressive male behaviors to attract women. This includes 'objectifying' women, or otherwise complimenting them, perhaps to heavily or too crudely, on their desirable appearance, and so on. What, then, should they do to attract women? If the expectation of the aggressive male is 'bad', then what strategies should such a male employ to attract women? This could include attracting women to ask the male out, contrary to the typical dynamic. If being an alpha male is the wrong approach, what do you believe is the right approach? If the traditionalist view, of men seeking out women, by use of financial stability and by providing for them is not longer effective, then what strategies should the morally conscious male use to attract a mate? Where should a male seek out women where the expectation of said women isn't to be approached by the more alpha male [like the trope of at a bar]? Disclaimer: If I am misunderstanding the feminist position on this issues, or perhaps strawmanning it, please feel free to address the discrepancy, and then address the question with the correction included.