Ignorance != stupidity.
Unfortunately, ignorance is quickly developing into something much worse.
Willful ignorance.
I encounter people every day who actively refuse to learn anything that takes more than 3 seconds to comprehend.
I won't judge you for the things you never had the chance to learn, but that changes the minute you choose not to think about something.
As for the original discussion, I sincerely hope that society will never reach the point where "it doesn't matter".
That said, hope and belief are two different things.
Grammar is being largely ignored by the masses.
I don't see this changing anytime soon. Like so many things, there is a self-reinforcing feedback loop.
People don't use grammar, so more and more people can "function" without having to learn it.
Conversational Logic and formal debate are also completely ignored by the masses.
That doesn't make them important and useful tools.
As someone currently learning traditional Chinese and finding it personally easier, I agree that overall the roman alphabet is superior. The roman alphabet is tied to sound only, and therefore can be used with any spoken language. Minor discrepancies in pronunciation aside, once you know the sounds you can sound out a word you don't know. You can't do that in Chinese. That feature of the alphabet makes it infinitely more adaptable than the character system, where your main choices are memorization and more memorization. It literally is the difference in learning 30-odd characters and 1200. (the 30-odd number is leeway to reintroduce some characters that American English doesn't have at this time, such as one for the 'ch' and the 'sh' sounds.)
And just so you know I personally like the character system better, and I think it is due to my rather severe dyslexia. These roman letters are used over and over again and it can be hard to tell what it is supposed to be. Easiest example to give is 'p', 'b', 'd', and 'q'. Maybe you haven't noticed, but I sure have. They are all the same fucking letter.
A successful [software] tool is one that was used to do something undreamed of by its author. -- S. C. Johnson