The question is best approached by looking at how sales and marketing organizations work; after all, you're selling yourself by applying for a position on the faculty and the way to be successful is by using proven sales strategies.
Marketing organizations know that customer testimonials are probably the MOST effective way to earn a new customer's business. The evidence is everywhere: TV commercials, online advertising, print media, etc. Present a client talking about how your product or service went beyond expectations, and new clients will feel a level of confidence in signing on with you.
So, YES, include testimonials, but do so in a way that's understated - NOT cocky!