Hello,
Moveit uses a plugin system for connecting different plannig libraries. One of these planning libraries is OMPL, a sampling based motion planning library. OMPL includes KPIECE + a few variants of KPIECE, as well as RRT and a few variants of RRT, including RRT*. We can also use the SBPL library, but the bindings for that need a bit of work. We do not use kinodynamic planners at willow garage. We use default settings from OMPL when the user does not specify the planner to use explicitly. In that case, a kinematic, lazy bi-directional version of KPIECE is used. That is usually faster than RRT. Please see ompl.kavrakilab.org/planners.html for a complete list of planners in OMPL.
Ioan