Hi Kyle,
I’m pretty sure you will understand that it is not possible to implement the header feature of our theme to other themes as there are many many different factors going on, and actually we have a whole process of 1-year development which made that happen.
If you’re talking about how the headers are stored in the database, some portion of the main factors of the header and footer are stored as a custom post type. If you go to your database you will see that there is a specific post type in the posts table. Here is mine to share with you:

But also consider that there are other tables especially the meta options that some sort of other aspects of the builders or straight there.
I’m not sure how this information will help you but please consider that what you want to do is to implement the whole process for another thing which I think you will need a custom developer to do and honestly it will be reinventing the bicycle.
Thank you for your understanding.