My college buddies tell me I have a terrible American accent.
Can't be, you guys are telling me people from the PNW don't have accents....
...Except for Pocatello. There is a Pocatello accent.
You are quite right. Most of South-Estern Idaho was settled through the Mormon migration originating in and around Missouri. Linguistically, that still shows, and this region has distinct Missouri influences in it's accent.