That rift was mended at the Council of Jerusalem in 49 AD after which Peter decided to concentrate on the circumcision [Jews] and Paul on the uncircumcision [Gentiles]. There was no rift after that --
And we get that from Acts whose purpose was to smooth things over. But the reift continued. Neither Peter nor any other Apostle testitifed to that. The only source of that is either Paul or Luke (or whoever wrote Acts) who was following Paul.
1 Peter specifically tries to mend that rift, and 1 Peter was written long after Peter was dead, towards the end of the 1st century.