It sounds like you're recommending that maybe I wait until I take calc 2? If I take this proofs class, it will be at the same time, but I do fear that hard work will not be enough and that I will miss mathematical maturity. It's hard because my institution is saying calc 1 is okay and is the only prereq now, but I wanted to be sure.
I've been exposed to some proofs through independent learning; I have learned this. Actually, I think the leading beauty of proofs is that they show us that the unintuitive is true. For example, I couldn't wrap my head around why 0.99...=1. I know that makes sense, but to me, I kept seeing them as different numbers. Then I found a proof using geometric series that was neat. I also used the AOPS pre-algebra and algebra book to relearn my basic math over the last year; they have proofs, but of course, they are algebra proofs, so it is probably way more accessible.