They are Margom lug soles (not Dainite), so maybe you don't need that new phone after all .
I think these shoes look perfectly appropriate with wool trousers, a sport-coat, and a tie. Although I frequently wear this kind of outfit, I don't often wear a suit. I'm not sure how formal the workplace would have to be to make Kiowas too casual; judging by the 'comfort dress shoes' that 90% of men wear, there are not very many of them.
AE's site says they have a "Toby mini lug" and that the shoe has a Poron insole: http://answers.allenedmonds.com/answers/7512-en_us/product/SF2195/kiowa-brown-distressed-leather-questions-answers/questions.htm?sort=recenta