What I recall from high school photography class (around 1974-1975, when Kodalith was still a current poduct), there was a special "A B" two-part developer that would give the "all or nothing" contrast; if, instead, you processed in Dektol, you got something resembling an ordinary film negative or positive.
If you were making a mask based on highlights or shadows, you'd register and contact print (from a film positive or negative, as appropriate), adjusting exposure so that you got the right level of gray (and everything lighter, in the original you worked from) presented as solid black, and everything else as clear film.
If you were making an enlarged negative (as for contact printing for alt-process) you'd treat it in all ways like printing to enlarging paper, and get a grayscale negative of the original (a print positive, which you'd then contact print to another sheet of Kodalith to get an internegative). Done with care in exposure selection and development timing (contrast control was via development, like film, not by grade selection or filtration like printing paper), you could get a negative very close to the same values and contrast as the original -- but big enough to, for instance, make a wall-size cyanotype or VDB print. The stuff came in size at least up to 16x20, may have been available on rolls in larger widths -- and, of course, being ortho sensitive, you could handle it under red safelight.
I think I've seen the A+B developer offered this century, at least, and there are ortho lith films offered in the usual outlets -- you should be able to pick up a box of the film and a package of the developer and lith away...