Dear John,
first of all, thank you for the purchase!
Could you please tell me which version of Fuji you are using? In 2.1, all get_stylesheet_directory_uri instances have been replaced by get_template_directory_uri to enable links in the child theme – I’ve tested that on a fresh installation and all links seemed to work well for the child theme (including the index.php file). And indeed, the latter template tag is designed specifically to return the parent theme filepaths. If I am not getting the question correctly, please clarify.
Sincerely,
Andrew | Satori