Rear End for my 347

My project is a 65 coupe and I just got a 347 stroker built for it. Has a mild ford hydrolic roller cam in it. Ford intake and a Holley 570 carb, Edelbrock heads with roller rockers. They said i'll be pushin close to 400 HP and 400 ft/lbs of torque. Thing is i have the original rear end in it still. Is this rear end going to handle it the power of the new motor? If not any suggestions on what i should put behind it??

I also had a performance AOD built for it. The guy at my trans shop asked me what gears i had in the rear before he built it and i just told him the stock gears for now. If i change out my rear to different gears is that going to cause problems with my AOD since he built it according to stock ratio rear end?

Thanks !!

My car is a 65 mustang coupe. Yea at first i thought 570 was too small, everyone usually says at least a 650. But the guy at the speed shop said it will run/idle really good on the street. I'm not sure of the exact cam or intake specs, i just know they're both ford. The cam is hydrolic roller but hey kept it pretty mild because i have AC on it too.

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i'm thinkin just puttin at 9" limited slip in it just to be sure i dont break anything.