I guess it depends on what you mean by 'be educated up to the gills'. There is no point in asking young people what they want to be when they grow up any more. The jobs that most of them will be doing haven't even been invented yet. The best we can do is give them the best numeracy and literacy possible, plus the ability to cope with constant change and an understanding of what their transferable skills are.
I love the quote from Albert Einstein:
“Everybody is a genius. But if you judge a fish by its ability to climb a tree, it will live its whole life believing that it is stupid.”
When my shower is leaking through my kitchen ceiling, I want a good plumber. I don't care if he can speak Latin or recite Shakespeare, but hope he will be good at his job, polite and able to write me out an invoice I can understand. Many of the children I taught who were on the brink of going completely off the rails would have dropped out of education at a very early age with this sort of curriculum. Instead, we got them off to an agricultural college, a large manufacturing company and outdoor problem-solving work. They flourished with this curriculum, tailored to their own individual strengths. Interestingly, all but one of those children moved on to college or training, saving the taxpayer huge amounts in benefits and keeping them in prison. They were great kids and only needed someone to care about them, a bit of money to make it happen and a government that would allow teachers to make a judgement on what was best for them.
Sadly, very few, if any, get this opportunity now as 'vocational education' has been poo-pooed by people in offices far removed from real education and the real world, judging what is 'right' by their own experience of public school or boarding school.