That would work. What I'm not certain about is which poles need to be reversed to make it hum canceling - or if it matters in this case. You've reversed both North poles and I staggered the reversal (actually you reversed a north and a south. I couldn't look at the diagram during the post). Either way, two of the coils are reversed but there is an issue with the relationship of which poles need to be for certain wiring schemes. Since it's split in half, you've probably got it right. All I can say is try it and see what you get, you're not going to harm anything in the process.