The only way around this dilemma Joel, would be to contact the SUBMITTER and ask if they could send you a GEDCOM file (complete). The Family Search site only copes with the details in small bites as you have found.
To find the SUBMITTER, go to the INDIVIDUAL screen and look for SUBMITTER(S) which is fourth item on page. Click on DETAILS over on the right, and it will reveal the name of the submitter (only one, but sometimes there can be more than one). I am sure Cynthia would be more than happy to share information with you.