For my understanding (which not exactly right), Service Mind is service that focus on customers’ mind. To make them feel that they are so special. Customers’ problems are company’s problems too. And the company willing to solve those problems…your problems. To make them see your Service Mind.
"Service Minded" is a mindframe that corporations want their employees to have. It's a politically correct statement that basically means "subservient" and "mindless drone". In short, it means that you're your company's bitch, and that they will gladly make you miserable for their pleasure or benefit.
Specifically, "service minded" individuals will act with the company's best interests at all times, and do so with a smile.