The Q material—whether or not it suffices as evidence of Jesus's historicity—refers to a [human] personage who is not to be identified with the [mythical] dying and rising Christ of the early epistles.
Jesus is nowhere in the Talmud said to have been executed by the Romans; his death is represented as solely the work of the Jews: and nowhere is his alleged Messiahship mentioned, not even as a reason for putting him to death.
[T]he view that there was no historical Jesus, that his earthly existence is a fiction of earliest Christianity—a fiction only later made concrete by setting his life in the first century—is today almost totally rejected.