In wide brush strokes, the Christian New Testament depicts two extremes of errant believers. On the one hand, the errant proselytes of Paul tended toward antinomianism, since their background was Gentile and therefore secular; and, conversely, the errant proselytes of Peter (plus James and John) tended toward legalism, since their background was Jewish and therefore religious. The graph, below, provides the illustration.
Paul was called to minister to the uncircumcised, while Peter was called to minister to the circumcised (Gal 2:7-8). The epistles of the Christian New Testament therefore address the extremes of the other; viz., Paul tended to lean against legalism, which was the exaggeration of what is religious, and Peter (plus James and John) tended to lean against antinomianism, which was the exaggeration of what is secular. The following contrasts between PAUL and JAMES provide one example.
Romans 3:28 (NASB)
28 For we maintain that a man is justified by faith apart from works of the Law.
Romans 4:2-3 (NASB)
2 For if Abraham was justified by works, he has something to boast about, but not before God. 3 For what does the Scripture say? “Abraham believed God, and it was credited to him as righteousness.”
James 2:22-24 (NASB)
22 You see that faith was working with his [Abraham's] works, and as a result of the works, faith was perfected; 23 and the Scripture was fulfilled which says, “And Abraham believed God, and it was reckoned to him as righteousness,” and he was called the friend of God. 24 You see that a man is justified by works and not by faith alone.
That is not to say that Paul advocated what was antinomian, for which he was accused (Rom 3:8) or that Peter (plus James and John) had advocated legalism (Gal 2:12), but that their respective (but errant) proselytes had biases toward these two respective extremes, for which Paul and Peter et al. had pushed back, respectively. Thus the "teachers of the Torah" mentioned by Paul in his first epistle to Timothy are those whose religious background had eclipsed the Gospel message with legalism. These individuals tended to be the errant proselytes from the Peter (James and John) camp.
In summary, the Apostles of the Christian New Testament are "on the same sheet of music," which is the message of the Christian Gospel. However, the errant proselytes of Paul and Peter (plus James and John) had tended to gravitate to one of two extremes, respectively.