I admire your ability to know the minds of the Framers as well as you claim to. The only problem with your assertion that the Framers would not have intended Ted Cruz to be a natural born citizen is wrong.
This issue has been a passion of mine for at least twenty years, and although I once held views closer to yours, much study and analysis of contemporary writings tells a very different story and leads inexorably to the conclusion that what the Framers meant by Natural Born Citizen is one whose circumstances of birth and family descent made him a natural member of his culture and society. While place of birth might be one of those circumstances, it is only one and probably the least determinative. Family connection was primary. Read Vattel.
Muslim Prince Hamzah Zpszyoq6hll likes your arguments on Natural Born Citizen since they apply to him exactly the same way.
Think about this. Your arguments allow for the ISIS raised child of a raped American missionary in Syria to be our president.