No, it's not. It's to create well-rounded citizens. Part of that may be employability, but it's much more than that. There is a reason we teach the humanities.
Marco Rubio was right when he said that "we need more welders and fewer philosophers" but we do need philosophers, poets, artists, playwrights, and the like. And we need an audience that has learned to understand and appreciate their work.
Education is to promote a well-rounded citizenry that thinks more creatively and understands the precepts that underlie our society and its values, not just to be vocational training.
If you merge education and labor, you move towards an educational system that is just vocational training, and that is not a society, a polity, capable of understanding and defending liberty.
You are correct. Getting a job is one of the least important features of education. We need people who have learned how to THINK. If they have learned the jobs will take care of themselves. Or the person can take care of himself.
Now the inability to THINK is the major problem in the job market. Applicants can’t even read and write much less THINK. And Mathematics is worse than a foreign language.
Then there is the fact that we don’t even know what jobs will be out there in five years much less ten.