Like so many others, this is your belief. But it is not reality. Reality follows Bertrand Russell, who said:
"The scientific rulers will provide one kind of education for ordinary men and women, and another for those who are to become holders of scientific power. Ordinary men and women will be expected to be docile, industrious, punctual, thoughtless, and contented. Of these qualities, probably contentment will be considered the most important. In order to produce it, all the researches of psycho-analysis, behaviourism, and biochemistry will be brought into play.... All the boys and girls will learn from an early age to be what is called 'co-operative,' i.e., to do exactly what everybody is doing. Initiative will be discouraged in these children, and insubordination, without being punished, will be scientifically trained out of them."
"On those rare occasions, when a boy or girl who has passed the age at which it is usual to determine social status shows such marked ability as to seem the intellectual equal of the rulers, a difficult situation will arise, requiring serious consideration. If the youth is content to abandon his previous associates and to throw in his lot whole-heartedly with the rulers, he may, after suitable tests, be promoted, but if he shows any regrettable solidarity with his previous associates, the rulers will reluctantly conclude that there is nothing to be done with him except to send him to the lethal chamber before his ill-disciplined intelligence has had time to spread revolt. This will be a painful duty to the rulers, but I think they will not shrink from performing it."
The public education system is designed to produce cooperative conformists, not innovators or creators of capital, wealth, and employment.