There are many American women who have married foreigners and had children. Does that make all of these foreign born children eligible to run for president if they ever so decide to come over to the USA and run for president? NO.
There is a reason that natural birth eligibility is a child of two citizens and born on USA soil.
Please open the link and see the historic record of American women who have married their prince charming from another nation. Of course they got on the white horse and galloped off to foreign lands, but with a passport I am sure they will be just as willing to send their children to the states and claim their birthright to run for president. What? It don’t work that way? Then someone had better tell senator Cruz.