To update you, I was successful using a Boolean modifier for the starburst as you suggested…(Never used that one before)… I selected the Starburst object and added a boolean modifier, the operation was intersect and the target was my Boolean helper, then applied the modifier. The process was successful but not clean, having to remove too many aberrant vertices and edges. I’ve attached the final result below.
Thanks for the suggestion. I’m hopeful Kent Trammell can determine why I wasn’t able to complete the starburst with Blender 2.8 .