I cant tell you if it is compatible as its not a swap I have ever done, but a jc5-138 has a fifth gear ratio of 42/31 which is a reasonable amount (7 ish %) taller than the 172/182 ratio of 39/31.
If you use that and a Ph1 box (15/58 which is 5% taller diff than a phase 2 15/61) then you can build a pretty tall 5th gear.
It will really blunt the performance in 5th though of course, but then you can just change down a gear I guess if you want performance.
I did consider it as a cruising gear in my turbo, but the problem I have is that I have enough power that 4th gear isnt tall enough for me on tracks with big straights as my 4th gear runs out at about 130mph with the ph1 diff, which is nowhere near enough, especially as Ideally I like to change before the redline as mine hits peak power quite a bit before peak rpm, but if I then put the taller 5th gear it would drop the revs too far on change really as 5th ends up geared 1.395 * higher than 4th, where as standard its 1.295 (which is already a bigger jump than 3rd to 4th is as thats only 1.284).
I considered using it on my mk1 as well, which runs a ph2 diff, as I figured it would get me slightly better economy on a run to and from the track, and as that car is N/A (ie slow!) it doesnt need more than the 125mph that I have in 4th anyway, but then I figured if I ever take it to the ring or spa I might need to use 5th on the really long straights and would then really curse myself for ruining it just in an attempt to gain an mpg or two in a car who's main function is track not commuting.