As a boy with southern roots, raised out west and back in the south...I'd say no.
Funny this came up...my daughters (now grown) and I were talking about something similar the other day...
It's always tickled me when you see a lot of the good 'ol boys around here dressing (what is in their minds) western. It's just not quite...right. Close! But, just a little off...
As to the "western ways", what do you mean partner?
(Historically, an argument could be made that many of the "western ways" were Southern to begin with as much of the west was settled by displaced Southerners following the Civil War...just a thought.)