..This is my understanding of why he was executed - the Romans took a dim view of him riding into the city claiming kingship, challenging their puppet regimes in the region, and being followed by a partially armed retinue. You and everyone else are entitled to your own understanding, of course. There are many good and valid and interesting ways to understand the texts.
The Qur'an states that it only appeared that Jesus was crucified.
That doesn't necessarily mean that he wasn't strung on the cross .. it could mean that he didn't die on it.
The Romans weren't concerned about Jesus, but the Jews were. They plotted to kill him, just as Muhammad's tribe plotted to kill him.