iirc the taper on the phil bb spindle will be a perfect fit for the sugino mighty arms. when you remove the crank fixing bolts you can check to see how much freeboard there is between the end of the spindle and the face of the removing hole in the arm.

one tip on removing the phil rings -

as mentioned above they are installed with loctite which can make them difficult to break loose - especially after forty years.

in stubborn cases it is often easier, and safer for the cycle, if the tool is clamped in a heavy duty machinist's vise and frame is used as the "handle" to turn the rings. in this manner there is no risk of a frame tube being damaged by the clamp of the repair stand.