The Greek-Syrian influence in Jesus’ day should not be minimized. The Decapolis was a loose league of cities centered around the eastern shores of Lake Gennesareth and points east. Scythopolis was the only one of the Decapolis that was west of the Jordan river, south of the Gennesareth (sea of Galilee). Pompey set them up to respect their dominant Greek populations, and to protect them from the theocracy of Judaism.
One town on the heights of the eastern Gennesareth recently discovered is Hippus. There are others that are likely to be discovered.
Antipas controlled the western shores of the lake, and his brother Philip controlled the northeast shores.
When Antipas was a potential problem, Jesus fled to the eastern regions of the Galilee, which were controlled by the Decapolis. In the last years of his ministry, Philips kingdom had reverted to the control of Rome after his death, and so there was safety from Antipas there as well. This would have been after Antipas executed JB in early A.D. 35.
Antipas had his own army, but it likely was made up of a hodgepodge of the usual army types. No reason why he wouldn’t have Roman trained soldiers there as well.
Both Pilate and Antipas were under the control of the Syrian Legate, who was the most powerful man in the eastern empire. Routinely, Rome would move its legions down to Judea and the Galilee to quell uprisings.
For the Passover, Pilate would certainly move a goodly portion of his army to Jerusalem, where they would make encampments, with a strong garrison occupying the tower of Antonia.
But the Greek-Syrians were a major presence in the area. During revolt of A.D. 66, one of the roles of the rag-tag army that Josephus put together was to protect the Jewish population from the Greek Syrians in certain areas, certainly the western cities of the Decapolis, like Scythopolis.
It is all in Josephus.
Source- he who shall be nameless.