From a logical standpoint, standardising language certainly works as an idea, but humans are not so logical! The history of language is that of languages merging and diverging. It kinda depends a lot on who you want to talk to at any given time.

It's not clear that language is inseparable from culture; there are arguments to be made that language shapes thought (see "1984" for an extreme thought experiment!), and culture might well be shaped by the network effects of such frameworks.

As for cultivating a world wide culture, perhaps we can already see it happening! And perhaps global language would follow. A few years back there were great claims made that in a century we'd all be speaking so-called "Panglish", the sort of global pidgin that would emerge from mashing lots of languages into English. Maybe ... maybe not. If there were a "standard language", chances are it would be at least partially based on English, and supplement local languages. But it depends entirely on whether everyone really cares about understanding each other, to the extent of learning a common tongue.