Alternative #1: A shoe repair or leather shop should be able to set a couple of eyelets for you. They are a common fastener in the leather world.
Alternative #2: Send it back to Busse to have them fix it up for you.
Alternative #3: You can "weld" kydex pieces together with tetrahydrofuran (THF) as noted in thread linked below. However, if you decide to use THF (or even MEK) be
SURE to read the MSDS on the chemical. The MSDS for THF is linked from thread below. THF in particular can mess you up bad. Massive ventilation or working outdoors is the minimum called for.
http://www.bladeforums.com/forums/showthread.php?s=&threadid=227482
BTW, I know what you mean about the AS being super for EDC. Mine has literally been a 24x7 friend around my neck since they were first released. It is ALWAYS with me. FWIW the retention was a bit sloppy on my AS sheath as it came from the shop. So I tweeked it with a heat gun to tighten it up.
Yours in nuclear optionability, -- Greg --
(edited to add)
Alternative #4: To replace the eyelets yourself, you can get eyelets at hobby, craft, or leatherworking stores, along with the anvil & setting tool/punch.