We don't take kindly means that we take offense, or dislike whoever or whatever type of people are being spoken to.
Skeeter: Hey! Panda Bear! We don't take kindly your types in here!
Barkeep: Now, calm down skeeter, he ain't hurting nobody.
Barkeep: Now, calm down skeeter, he ain't hurting nobody.
by WGF_Crafty September 26, 2014