From what I have gathered in the most of the scholarly literature, the general agreement I have found is that the divinity of Christ developed quite independently from Paul. I suggest the book, “Lord Jesus Christ: Devotion to Jesus in Earliest Christianity” by Larry W. Hurtado.
Now, I would agree with you that the Jerusalem Church initially didn’t accept Paul’s collection, but James in Acts 21 presents a “compromise”, asking Paul to be be purified with four Nazirite men. Perhaps James asked Paul to undergo this so that his collection would be accepted by the rest of Jerusalem? This is just my hypothesis. It just seems to me like some scholars have tried to blow the tension between James and Paul out of proportion, though I don’t doubt there was probably some tension, but it was hardly over belief, but more likely over purity
Indeed, James seems to be more concerned over purity laws than even his own relative (brother?) Jesus was, as can be indicated when he sent men to rebuke Peter for eating with Gentiles in Antioch. We must remember that James, like Paul, wasn’t present during Jesus’s ministry, and didn’t come to believe in him until after the Easter event.
I like James Dunn’s notion that Peter was the bridge man between James and Paul. As indicated by both the author of Acts, and Paul himself, Peter was open to the Gentile Christians, even having table-fellowship with them, to which, he probably saw himself as imitating Jesus. Of course, for some reason, Peter abruptly stopped this when James sent men to rebuke him, yet Paul implies that Peter still held to justification by faith and not by works of the law (Galatians 2:15-16). Again, it doesn’t seem like there is difference in belief between Paul and the other apostles. The contention between Peter and Paul is more about their particular missions rather than belief. Peter was closer to Paul over purity and faith, but was closer to James over Jewish identity and mission to the Jews.