Paul was an Apostle for the Lord Jesus Christ and that job was to teach the Gentiles. The Apostle Peter who also worked for Jesus Christ saw what the Gentiles were about with that little rooftop experience concerning Cornelius. You see things that are not there.
As I said but you fail to understand is that no rabbi or Pharisee would openly teach non-Hebrew Gentiles the Law of Moses nor want to "baptize" or circumcise a Gentile. It is unheard of and is contrary to the Word of God and any rabbi or Pharisee would have been stoned. There was a strong sense of separation between Jews and Gentiles and this separation was introduced between the two races by God. There is nothing in the Law of Moses where a rabbi or Pharisee would attempt to openly teach of circumcise a Gentile. There is nothing in the Law that God instructed for such a thing to happen.
But I "get" that it's easy to want to believe in such a thing today but teaching the Law of Moses to a Gentile or performing a circumcision on one could have been seen as blurring those boundaries and potentially undermining Jewish identity. Depending on the specific context and the individuals involved, the consequences for such actions could have ranged from social disapproval and ostracism to more serious repercussions, especially if it was perceived as a threat to Jewish religious or social order.
The woman at the well because of her mixed heritage was seen by Jews as being Gentile although she was of Hebrew ancestry and knew she was a worshiper of the God of her fathers:
9 Then saith the woman of Samaria unto him, How is it that thou, being a Jew, askest drink of me, which am a woman of Samaria?
for the Jews have no dealings with the Samaritans. John 4:9.
Jews knew that there were mixed offspring among Hebrews and Assyrians due to Israel's conquest and subsequent exile to Assyria by the Assyrian armies. There was 752 years (seven centuries) from the time of Israel's exile until Jesus interacted with this Samaritan woman. Therefore, there could have been approximately 30 generations between Israel's exile and Jesus' conversation with the Samaritan woman. How did this woman identify herself to Jesus?
11 The woman saith unto him, Sir, thou hast nothing to draw with, and the well is deep: from whence then hast thou that living water?
12 Art thou greater than
our father Jacob, which gave us the well, and drank thereof himself, and his children, and his cattle? John 4:11–12.
She identified herself as a descendant of Jacob, the second-born of Isaac and of the seed of Abraham. God changed the name of Jacob to Israel in Genesis 32, so she was of the seed of Abraham but was of mixed heritage having been the offspring of a Jew and a Gentile, but Jews had a discriminatory attitude against mixed heritage Jews and were treated like an infidel or Gentile. What else did the woman say to Jesus?
25 The woman saith unto him, I know that Messias cometh, which is called Christ: when he is come, he will tell us all things. John 4:25.
This woman was a Christian. A woman of the seed of Abraham and a Gentile who said she awaited Messiah "which is called Christ." All Hebrews that looked forward awaiting Messiah/Christ can be called Christian. All Hebrews that looked forward to the sending/arrival of Christ can technically be called a Christian such as David, Solomon, etc., and Jews on the street. What you need to do is stop looking at Hebrew/Jewish history from a Gentile perspective and with a Gentile mindset. There was great discrimination from Jews who were of Jewish birth never having a Gentile parent in their family line against Jews who did. There was also great separation by the Jews against the mixed heritage Jews that had at least one Gentile parent in their family line. This Samaritan, mixed heritage woman at the well is proof of that and a study of this circumstance among Jewry against those offspring of Jew-Gentile birth should be considered because it was a real cultural situation in Hebrew history.
And I notice you ignored the passages I posted in my last comment that showed Jews who became born-again in the first century were aware that it was God's Spirit who was promised to Israel that intervened into their lives and they remained faithful to the Law of Moses and for a time unconverted Jews saw these things and these people as a sect in Judaism. They were full-blood Jews who were followers of "The Way" which in the beginning these Jews were called by Judaizers. Again, Saul continued as a rabbi and Pharisee and was obedient to the Law of Moses even after he met Jesus on the road to Damascus.
24 Them take, and purify thyself with them, and be at charges with them, that they may shave their heads: and all may know that those things, whereof they were informed concerning thee, are nothing;
but that thou thyself also walkest orderly, and keepest the law. Acts 21:24.
Saul was a Nazarite for he is said to have been asked to "purify thyself" and join in vows with these other persons who followed purification rituals and shaved their heads. Only Jews who were separated for God from the womb (as Saul said he was) are permitted to follow the Nazarene rites in Judaism and the Law of Moses. Shaving the head in Jewish history has been associated with a range of meanings, from mourning and ritual purity to social status and religious devotion and Saul did that. And the Jews saw him as being obedient to the Law of Moses. If he wasn't then he would have been ostracized in the least or excommunicated at worst. BUT he was well received and highly regarded by the Jews and Judaizers. Saul "walked orderly and kept the Law."
What's up with that? Why do you ignore this? Remember what Saul wrote Timothy in 2 Tim. 3:16-17. What "Scriptures" was Saul referring to?
And Cornelius was mixed heritage Hebrew, too.