I think you are right. Maybe a caster in place of the lifting pad would work as well...It looks like the lifting pad on top of the jack doesn't connect to the table. The lifting pad makes contact with the metal plate that's secured to the underside of the table and actually slides on the plate as the table is raised or lowered.
That's the old ones. Newer ones are composit one piece.keep in mind that bowling alley is side-nailed (with hardened nails)... not glued. the pieces can separate relatively easily.
it usually has some steel horizontal ties on the bottom end, ("T" bar on every one i've seen so far), that are held in with a few screws. take those out and the bowling alley starts loosening up. it really needs a frame to sit in...
I've got an xtra jack that just may get converted to a table/lift like that.