Due to the revolutionary climate in 1st century Judaism, and some of the pinch of the remarks about Paul in the late arrests, I think it is safe to say that Luke was trying to show that Paul was not hostile to Roman administration. There is no sign of it as there was among the zealots of Judaism.
In a complicated twist, you will find that many Jews were at work in the Roman administration and made things difficult for believers, as found in certain scenes. Their ability to use Roman authority against believers is a bit shocking, but it's there.
One arrest in ch 22 especially was on the basis that Paul was an Egyptian (Jew?) who had control of 4000 terrorists.
Jesus ran some risk by calling some disciples from Galilee and living there. The friction about the Galileans is that the most recent revolt had started there, by a figure named Judas no less, and leaders in Jerusalem were wary of them. So the slander against Jews from Galilee (follow Peter during the crucifixion) is not just that they were hick or from the country but the connection to revolt.
Meanwhile, yes, there is a history of the early church and its mission, that was harmless as doves.
