"It was in Roman interests that people fear them. It was not in Roman interests that people hate them. A story that Pilate only executed Jesus because he was manipulated by the Jewish elite and bullied by the Jewish mob would stir up less hatred of Rome than a story that Pilate planned it and brought it about entirely on his own. It would also put more distance, in Roman eyes, between the Christians and those troublesome Jews. It had to be the politically more savvy way to go."

No, the Romans would have stressed that this is what happens to those that act against Roman authority. Roman rule was hated and resented plenty and apart from the consul in Damscus, who generally tried to placate the Jewish elite to stop them from revolting, the Romans didn't do much to patch things up.
Gerry, show me a source or any piece of evidence that in those first years of Christianity the Romans saw them as anything more than another Jewish sect.