You have a great web analytics tool? Check.(That was easy!) You have smart people that not only report data but provide insights? Check. (Congratulations, these are hard to find) Now the main challenge for your team is driving change into the organization (our your clients), make recommendations and make sure these recommendations are implemented. This is often more about communication, politics and strategy than the common egghead image of web analytics suggests.
For an interesting take at how to get started, take a look at this post over at Occam's Razor