Rest assured, if you force students to learn basic english and math, the vast majority of students will experience this as being forced to study things they don't care about.

The difference with what I'm suggesting is that they won't be forced to learn about 7 or 8 different things they don't care about at the same time.

The allocation of teachers' time will be better with a more constrained curriculum, and the classes where students choose to learn about a subject will be a more engaged.

Framing learning things you're uninterested in as "learning to get over yourself" is odd. This isn't an ego problem, and dictating personality traits to such an extent is a questionable goal.