Looks like the cutaway is slightly smaller, so access to the top frets might be an issue.
I like the way that the bridge pickup and back edge of the scratchplate matches the angle of the body above the neck (where the strap stud would go). If you were to angle the end of the body (behind the bridge, lowest in the picture) to match, then you'd be getting into Jazzmaster territory.
Out of interest have you tried mocking up different angles of the control plate?
EDIT: Aha! The Jazzmaster/Tele mashup already exists in the form of the FSR