Re: How tight should the prop nut be?
Just replaced my prop on my 3.0 L with alpha one and it is 55 ft lbs. if your pushing/ pulling on prop should be very little amount of play. About the amount you mentioned. That is the shaft moving in and out, not the prop.
Pushing and pulling is not proper torque of the prop nut. In pushing and pulling, the prop and prop shaft move in and out in unison!!!!!!!! Pushing and pulling is working the overrun clutch which is part of forward gear and is used to allow the engine to decelerate while the prop is still spinning faster...like coming off plane. It's just like old Ford farm tractors. Without an overrun clutch, if you have a mower attached, the mower will propel the tractor forward till the mower stops....through fences, over hills, and dales, and all that, regardless of what you try to do with the clutch and the gear shift.
Over run clutch check is: Regardless of gear, engine off, just grasp the prop, properly installed on the shaft, and push it forward. It will move forward roughly 1/8", give or take. That is normal. If worried, go to a dealer with new engine/outdrives on the lot and do the same thing. It will put your mind at ease.
Need more, ask.
Mark