Skip the Ofmega unless you are using the Ofmega cranks. The '80s Ofmegas had a unique taper so a shimano or Campi crank won't sit on it correctly.
What crank set are you using? Your kind of doing this backwards, as you need to have the bottom bracket (especially the spindle) that goes with your crank. Different cranks, and event he same crank of different years need a different spindle.
CampI Super/Nuovo Record cranks need a spindle about 118mm long that has a longer section on the drive side. A late '80s Chorus spindle is only about 112mm but symetrical. Same for shimano, SR, Sugino ect.
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