Long comments for a short run, but i'll try to make them informative!
I first decided to do this run in 2006, and the route i use is basically the same one i was test running back then. the reason i did this run in 2009 and not 2006, however, was due to lack of time and proper hardware to run the game - myst is so very cpu-intensive, after all.
to finish myst with the desirable ending, all you need to do is flip the eight marker switches on the island, flip the one near the beginning again, get the white page, and return it to atrus. so i counted the number of clicks it would take to finish using various routes, and i believe that this route takes the least amount of clicks as well as the least amount of mousing time. there are several other routes that take the same amount of clicks; this is just the one i like best.
my original goal was under 1 minute, but when i started doing serious attempts later, i quickly realized that wasn't going to be possible. i'd say maybe a few more seconds could be shaved off if nothing new is discovered. i doubt i'm the fastest clicker in the world, but it is very difficult to be both quick and precise in this game.
therefore with this run i had to manage the balance between mousing speed and accuracy of the clicks. what you see is a technically perfect run - that is, no mistakes in clicking whatsoever - so the only improvements that can be made are to just mouse and click faster.
many slides aren't very forgiving about where you can click to advance, especially when turning. so i was forced to slow down a bit when doing precise clicks such as flipping certain marker switches and entering the fireplace code. you'll notice that when i just need to move straight, i go a lot faster and could generally get good precision by counting each click to myself.
you'll also notice the long load and wait times, especially at the very beginning and during certain animations. i used the 10th anniversary dvd edition, on which these can't be skipped. if i used a different version, such as the original, where some of these can be skipped, i might have been able to get the time a bit lower, though on other versions some of the slide transitions take more time, so it's a trade-off.
finally, 131 clicks are required to hand atrus the last page, though i include two extra to skip his first cutscene and was actually clicking like mad during some parts.
hope you enjoy the run!