I’m a rising junior and I just got my permit in May and license about a week ago. I went through my first two years of college without any official ID on my person (birthday wasn’t on any of my school IDs, health insurance, etc). I had my passport I didn’t carry it around. It never really gave me a problem, but if you don’t have at least your passport it could make it difficult to apply to things that need ID. But since you took your road test that means you have your permit, which is enough.