"Grow up"? "Being an adult"? WTF is this

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From what I gather: The ideal of being a grownup entails being generally more aware of the world/people around you and making responsible decisions.

This seems fairly at odds with many other adults (and my) ways of going about life.
Thankfully I've lived in places/such a way where being part of the community, doing your taxes and other inane stuff wasn't really a thing. Of course, this has limited my life experiences compared to people that have lived in "the real world" and dealt with such bullshit. It's evident in conversations I have with other people my age, but I've grown accustomed to bs-ing my way through it all well enough.
I'm also fine drifting from job to job picking up a wide range of skills, only half listening to the politics and bureaucratic workings of any of these places. I'd rather put all my energy to the task at hand.

Should I bother with "grown up" things like:
Actually dressing for my age rather than graphic tees and jeans outside of work?
Is there worth in acquiring a taste for mainstream hobbies that seem to be best enjoyed with more friends (football for instance)? I don't see myself dropping anime and video games.
Should I take a finer interest in how everything is operated internally and on higher levels?
Are there any other supposed "adult" things I'm missing out on?

My only plans are to save up, look after the immediate needs of my wife and soon coming son until I can plant our roots in a decent house.
I've slapped together attainable sub goals to get there with my wife. Do I need a more definite main goal than that?

TLDR: Should I take more interest in the smaller details of the world around me and what the other adults in it care about?
Can't it be enough to get damn good at my job and just spend the rest of my time with my family or video games? The real friends I've known all my life are online as a voice or text line anyways.