Oh for goodness sake...
Please, when you see a funeral procession, pull over to the side of the road. Please. And please do NOT try to cut through the procession, no matter how much of a hurry you're in...
I just saw a news snippet that a soldier in Tennessee died. During the funeral procession to the cemetery, which included the Patriot Guard Riders, some lady tried to cut through the procession, putting a motorcyclist in the hospital (and most likely totaling an expensive bike).
Motorcycles do NOT stop or turn faster than cars -- especially when they're in a funeral procession.
I've had this nearly happen to me here in Sioux City, too. If you're so busy you need to cut through a funeral procession to get to where you gotta be, it might be time for you to take stock of how you're living your life.