You will be considered a God if you answer this with sources!
Apparently he uses Paul Mitchell styling products according to a user on this site. http://www.morrissey-solo.com/threads/3099-How-Does-Morrissey-Do-His-Hair
Paul Mitchell website: http://www.paulmitchell.com/products/Pages/Home.aspx
This hair site also explains how to get that look and suggests Paul Mitchell styling wax. http://www.jacksmalegrooming.com/content/44-rock-n-roller-hair-trend
A hair site that talks about how to get that look. http://coolmenshair.com/2009/01/morrissey-hairstyle.html
Apart from that Morrissey is a Mancunian and Manchester water contains chemicals that automatically gives you ‘cool’.