I think you are making a number of assumptions, some of which are plainly false.
Paul was a hypocrite because look what the text says so âhe circumcised him because of the Jews who lived in that area,â
Paul was not a hypocrite. Paul knew that 19 For neither circumcision counts for anything nor uncircumcision, but keeping the commandments of God." 1 Cor 7:19
He taught that; "18 If possible, so far as it depends upon you, live peaceably with all. " Rom 12:18-19
He wanted to avoid scandal, and since the act of circumcision was immaterial, it was of no concern to him to have it done (I agree it was probably more material to Timothy

!
It was just this kind of incident Paul hoped to avoid:
Acts 21:26-30
26 Then Paul took the men, and the next day he purified himself with them and went into the temple, to give notice when the days of purification would be fulfilled and the offering presented for every one of them.
27 When the seven days were almost completed, the Jews from Asia, who had seen him in the temple, stirred up all the crowd, and laid hands on him, 28 crying out, âMen of Israel, help! This is the man who is teaching men everywhere against the people and the law and this place;
moreover he also brought Greeks into the temple, and he has defiled this holy place.â 29 For they had previously seen Trophâimus the Ephesian with him in the city, and they supposed that Paul had brought him into the temple. 30 Then all the city was aroused, and the people ran together; they seized Paul and dragged him out of the temple, and at once the gates were shut."
Paul did not do this, but causing scandal and riot over misunderstandings in no way furthers the gospel. It is better to be cirucumcised, avoid meat offered to idols, pray with the head covered, or otherwise blend in with the culture, so long as such actions do not compromise the gospel. There is nothing hypocritical about this.
He was doing it for the Jewish establishment not because he wanted to please Timothyâs Jewish mother who obviously didnât care that much that she never circumcised him prior.
The first part of this is simply erroneous. There was no âJewish establishmentâ in Lystra. This was a Greek area that contained diasporic Jews. At most, there were pious Jews and a synagogue, with a leader. These were country folk, and actually probably quite removed from âthe Jewish establishmentâ.
Secondly, you donât know Timothyâs mother âobviously didnât careâ. It was not possible for a woman to âhave circumcisedâ a son. Timothy would have needed a male to represent him in the service, and if his father was aGreek, this would not be permitted. Another family member could do it, a relative, but there may not have been one near. On the contrary, Paul commends the faith of his mother, and grandmother:
" 5 I am reminded of your sincere faith, a faith that dwelt first in your grandmother Loâis and your mother Eunice and now, I am sure, dwells in you." 2 Tim 1:4-6
at this point it really shoudnât matter who his mother was
If you read the text, it was not the motherâs heritage that was the problem, it was the fatherâs!
Timothy was Jewish but on the otherhand we was not a practicing Jews but a Christian convert
If his mother and grandmother were faithful, long before Christianity appeared, it is very likely that he was a practicing Jew. The fact that he had not yet been circumcised may not have impacted his faith practices, since he took after his motherâs side of the family.
the Jews whom Paul was trying to impress were mandating this so you have to say Paul is a hypcorite here.
There is a big difference between âtrying to impressâ and avoiding unnecessary scandal.
Paul was a very humble man and said he was the lowest rank of apostle and not worthy of the title in other passages he does not pull Rank with Peter but goes to him for teaching and ruling requiring authority
Paul never went to Peter for teaching, or for rulings of authority. In fact, he states the opposite: