I can't tell you how often I hear someone want to "ax" me a question.
I recall my linguistics professor saying the "ax" actually is an older form of the word that has been preserved. So it's not so much improper as much as it is antiquated.
Also, languages go through regular mutatations, this is just another one of them. I don't think "ax" is any different than "pail" vs "bucket" or "pop" vs "soda". It's just that it is associated with a poorer demographic, but that doesn't make it any less valid English.
PS- Yes, I am the kind of person that will use "thee" and "thou" if necessary to disambiguate from "you".
And when you went to college you still believed them?
Yup. My parents were academics and got in when there was less competition. They presume everybody who is smart would have it so easy. They still do as they badger me to do a PhD and I try to explain that a MSCD or a SCJD or ScrumMaster certification would boost my career more (already have a MSc in CS in a field where only Microsoft, Google, and Yahoo! work which are no near any of my family).