Use the adjective ultra to describe something extreme, like your ultra strict parents or your own ultra radical political views.
If your sister is ultra uptight and your English teacher's syllabus is ultra traditional, it means that both of them hold unusual opinions, far outside of the normal range. Neither would be a good fit for your own ultra relaxed philosophy of life. Ultra means "beyond" in Latin, and its meaning of "outside the norm" comes from the French word ultra-royaliste, or "extreme royalist." Eventually, it was shortened to just ultra, to describe any extreme opinion.