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First, I suggest you look at the Holy Spirit's use of the term 'kosmos', translated 'world' in all of John's writings. Deriving a universal atonement from John 3:16 is eisegesis - reading in what is not in the text. The text literally says: "that all the one believing shall inherit eternal life", in other words that there is no such thing as a "believing one" who will not inherit eternal life. Calvinsists heartily affirm this! The pericope including John 3:16 does not identify the nature of those who believe, but rather that all who believe will be saved.

John 6:35-47 tells us much more. Here we learn that "all drawn by the Father" come to Christ and He "raises them up on the last day." This tells us more about the nature of those who believe.

Rev 5:9-10 completes the picture:

"Worthy are You to take the book and to break its seals; for You were slain, and purchased for God with Your blood men from every tribe and tongue and people and nation.
You have made them to be a kingdom and priests to our God; and they will reign upon the earth."

This passage is clearly describing atonement for believers.

You misunderstand the label 'Calvinism.' In reality it represents the truth of the Scriptures expounded by the apostles and rediscovered by Augustine amd Calvin after many had abandoned it for the philosophy of men.