I have been on the summit of Mount Lincoln 5 times and I have traversed from Job Peak a couple of times, easy hike. There is another route that is more direct and takes less time. See my notes in the comments of the posted route photo for the Long Canyon Route.
If you run out of water (don't run out of water in the Stillwater Range) there are springs in the two branches of the South Fork of Long Canyon. Filter the water.
You serious hikers/climbers will appreciate this route, however, no technical skills are needed.
Route Climbed: Traverse from Job Peak Date Climbed: March 31, 2003
Made the three mile traverse from Job Peak with ScottyS after our ascent of Job Peak. There was a high overcast, and strong winds on a cold day, but the air was relatively clear, making for good visibility.