In your position, I would not worry about fixing the cabinet to the floor. You could fit adjustable feet, and adjust the level using those. Some cast iron lathe stands have tappings for just that purpose..
If you have to concentrate your efforts on shimming between the lathe feet and the cabinet. to remove twist from the bed, you need to read how to do it as per Ian Bradley in "The Amateur's Workshop" or the "Myford 7 Series Manual" as a guide to where to adjust the feet.
If you don't like shimming, you can use studding and nuts between the lathe and cabinet. One nut each side of the cabinets holds the studding captive, while a nut above and below each lathe foot provides the adjustment to take twist out of the bed.
Ian Bradley advocates leaving the Headstock end alone and making all the adjustments at the Tailstock end..
Once twist is out bof the bed , the machine should cut parallel on an supported bar (Follow Ian Bradley's advice and only take fine cuts, on a reasonably thick bar, to minimise risk mof the cuttingb pressures deflecting bthe bar.
If, after this, the lathe cuts a taper when working between centres, it is possible that the Tailstock is offset across the bed. To check, and if correct this, firstly you need two good centres. The hard one goes in the Tailstock, and it is worth trimming up the soft one in the Mandrel, immediately before use.
Fit an alignment bar (Or a substantial bar known to be straight and parallel. ) into the four jaw chuck and adjust the jaws until the DTI shows it to be running absolutely true..
Mount a DTI (The more sensitive, the better ) in the Toolpost, at centre height and set to Zero. Move the Saddle to the end of the bar, and note the reading Unless the Headstock is out of alignment, the reading should still be Zero..
Then mount the Alignment Bar between centres and set the DTI, still at centre height, to Zero. Move the Saddle to the tailstock end of the bar and note the reading..
If the reading is anything but Zero, use the adjusting screws to move the Tailstock, (lock one against the other each time ) until the DTI reads Zero at both ends of the travel of the Saddle.
You can check the centres for being at the same height.,by bringing them together so that they grip a thick feeler gauge or steel rule, placed vertically between the centres. If the centres are at the same height, the feeler will be vertical. If it is not, the centres are not at the same height. Hopefully this will not be the case, since your lathe appears to be fairly new.
Unless the error produces large taper errors, with a prismatic bed, you might be better to live with it.. Scraping or shimming the flat underside, might introduce other errors because of the prismatic way, so sleeping dogs may best be left to lie. Totally correcting the error may be difficult.
Howard
Howard