Culture? Eh I've a hard time considering gaming as culture, mostly because I'd consider it to be only one part of a whole culture not a single part of it. I can certainly support the argument that gaming is part of many modern nations cultures and that for those living in America or most of Europe its certainly a fairly big part that we take for granted. Gaming involving things from your mobile phone to your computer to your console - heck even TV's have their own digital games (I'm not including the poker games here they are, I'd argue, more into gambling games than "video" games).
As for the "games are for kids" line - eh I can see many parents of certain generations holding that view. They never EVER grew up with games at all. The whole field of electronic entertainment was never a part of their upbringing and has only appeared in the latter part of their lives. It's a massive shift in the culture of the nation and its something not all of them are a part of (some jumped right on into it others not).
So for them games are for kids - and yes their definition of "kids" includes those who might be over 18 years old (its not a strict definition).
I could accept that some limited major games might become a sub-culture of their own - most MMOs attempt to build toward this, though I'd argue that most only get there partly since its still only a passtime for the majority of players.
Protoss: I won't believe Picasso's paintings are art. So is there any way to convince me?
I always find it amusing that many of his more traditional (and generally what I'd consider more skillful) art isn't his "popular" work that is always shown and repeated around the world today (at least in common spots).
I do agree though that many of his - great - works look more childish or lesser in talent to my eyes. They might have led to a revolution on new artistic forms of expression but I still don't like them.