edit: This is not an entirely serious suggestion. See later comment below.
Anyway, it wasn't a completely serious suggestion. It's got some problems. Happiness is a good thing to measure, but you'd want to still do some long term tracking of other metrics. Incarceration rates, income, college graduation rates, higher degrees and certifications, etc.
edit: I make the comment about arts schools having received a degree in film and taken a haphazard path into startups and programming that ultimately worked out pretty well. I absolutely encourage people to go to school for the arts if that's what you want to be doing.
A primary goal of school is making kids smarter and ultimately a functioning adult. Including being employable.
I don't think "happiness" is the job of an educator. The parents, absolutely. The local government? Maybe.
But if "good citizen" is a desired goal, we might be able to measure that. With surveys of alumni about current events, employment rates, financial principles, etc. To measure whether well-equipped, life-long learners are produced.
But I'd rather schools stay out of holistic goals better reserved for families.
I do admit to not knowing what I am talking about so maybe there is no danger in using the graduation rate metric.