There's little market. It isn't going to happen.
This is going to sound harsh and sexist, but unfortunately this is how marketing droids work and think.
1) Magazines basically work with advertising. A crunchy magazine about being a father is going to try and sell, what, exactly? Who are you going to find to advertise in this? Harley Davidson? Not exactly the kind of advertising they want, in fact they offer an escape from domesticity. As for baby wipes, diapers, baby food, etc. women buy that more than 70% of the time, so for all intents and purposes, advertisers would see that as a wasted dollar, because you could shove your ad in Mothering magazine and get far more sales bang for the buck.
2) 50-60% of fathers are in divorced families, and therefore almost never see their kids.
3) So, OK, what about the other 40-50%? Well again, in many families the female is the one who does the banking, checking etc. and far from the stereotypical "dad sits at the table and hands money out to the rest of the family" in reality most of the time it's the man attempting to justify purchases to the gatekeeper of the finances. Whereas women can and do impulse shop and will spend the family finances on non-essentials like a magazine like this. I'm sorry, but if the average man went out and spent $7 on a magazine, he'd have to explain this to the female parental unit. Whereas she'll chuck it in the bag because there's a great article on not spanking children.
It isn't sexism per se, these decisions are purely financially driven. It's a raw deal, but there's raw deals all over the place.