(1) Learn the language of construction. I wrote a textbook called 'Building the Building' which focuses on the fundamentals of construction project management. The soon to be re-organized three volume program provides a nice introduction to the processes and documentation associated with commercial construction. Once it is complete I'd be happy to send a PDF copy to any TPIer who drops me an email.
(2) Learn about Building Information Modeling. A free trial version of the Revit 3D design software is available for download. There are also a bunch You Tube clips demonstrating the software.
(3) Learn about Integrated Project Delivery (IPD) and Design Assist (Pre-Construction). Right now all of the major WDI projects are employing these phases of project development. If any TPIer drops me an email I will send them a copy of an essay regarding these topics.
(4) Visit the sites of company's like Thinkwell -- Great theme park design houses will expose you to the perspectives of established industry veterans.
(5) Take a trip to the IAAPA convention. Tickets are expensive but the convention in Orlando will give you an opportunity to walk the HUGE trade floor to see products and to visit panel discussions featuring industry professionals. IAAPA is an extraordinary resource.
(6) Consider theme park developments outside of Universal and Disney. Broaden your targets.
But seriously, Engineering degree seems to be a pretty popular degree.