I have to take back, what I said earlier.
When I first tried to migrate the database, I apparently did something wrong while exporting the db, because the size of the dump wasn’t nearly as big as it is now, when I tried it again. I now was able to successfully import the database and I have hosts, image definitions and users showing up properly in the web interface.
The next step is to perform all of this on my actual FOG server, as this was only a test with a VM.
Thanks for the help everyone!