When I was single, I already thought that finding a girl to marry was going to be an impossible task. The way I did it is the way I always advise. I used Matt 6:30-33 and 1 Corinthians 7:27 as my guide posts, and focused on serving God the best way that I could and let Him find me someone to marry. I later came to find that He had begun to provide me His answer from the same time that I had purposed in my heart to approach it this way, though it would be a few years between that and the day I actually found her.
My point is that God knows that most of his sons need a woman. And if we prioritize HIS Kingdom and HIS Righteousness, He will supply us all our need. That's a promise. And I agree (though maybe not the same way) that the emphasis is on the man doing something. But I would put forward that what the man needs to do is make sure that his goals are to further the kingdom of Heaven and to grow in righteousness. Along the path he'll have to step up and ask a girl/her father about something at some point, but even then unless the Lord builds the house: He labors in vain who impresses a girl's father.
From a purely practical standpoint: You know, even completely leaving out the power of God's intervention and planning, If I see a young man chasing hard after God, I'm more inclined to be the kind of man that
@James A is looking for. You know, the kind that approaches him and says "Hey bud, have you considered my daughter? She's precious to me but I think I'd like her to be under your care". But the more I see a young man struggling trying to get the attention of females or currying favor with the fathers of available women, the more apt I am to hide my own daughter from him.
Not that I don't understand where they're at and I can sympathize with them, but like my good buddy Laban: My chief interest is for my daughter's well being. I want a son in law that I can believe in. Of course my daughter is pretty and gets attention. Damn right. She gets it from me. But who are you that I should give my daughter away? And I don't think my mindset is all that rare.
We should teach our boys to be face-of-God-seeking men, and hold our daughters in reserve for the same; and past that I don't know how much more of a real contribution we can make to the equation.
What else do you think we should do?