It's also not a coincidence that a disproportionate number of the conversion accounts from the Gospels involve Roman soldiers and leaders.
"I don't know that any portrayal of Jesus as a "troublemaker for the Romans" is an accurate one."
You are correct that Jesus' trouble for the Romans did not exist directly per se, but he was trouble for the Romans in that he did exactly what you spoke of -- fomenting rebellion against the Roman puppets and the Jewish religious oligarchy who were put in place by the Romans. Remember, the Jewish leadership in Palestine during the occupation only existed at the pleasure of the Roman overseers. Jesus and His followers represented a threatening counter to their rule and the priestly class of the Temple.