Nope wont work.Ive heard of people retapping them but makes for a sloppy fit.Option 1:Get a new shaft made. Option2: drill it,plug it,re-drill it and retap to the correct thread.
NO, it's one more turn in the 3/8x11 then in the 3/8x10 at least I think I learned that in math class.., It will go in if you force it but it will destroy the threads , get the correct shaft or take it to a repairman, have it done right<<ED