Thank you for your post.
FileMaker Pro 13 will neither sync nor integrate with Apple's Contacts application. There are third-party plug-ins that will allow FileMaker Pro to integrate with Contacts. Productive Computing comes immediately to mind, and there may be others. For more information about the Address Book Manipulator by Productive Computing, see:
It's really too bad that Filemaker can't produce anything that integrates with Apple's suite of products, particularly address book/contacts. Bento could have been an External Data Source for Filemaker to bring in Contacts.
Productive Computing's options are incredibly user unfriendly.
It's really ironic, since Filemaker is an Apple product.
It could be so much more, but it isn't.