I found this article suggesting to use Titanium Backup which you can download from Google Play: http://www.guidingtech.com/13523/freeze-uninstall-android-system-apps-titanium-backup/
Just be very careful and remember to backup important data before trying the guide above.
If something doesn’t work out there is still the option to make a hard reset and restore the FP to the state when it was shipped (without Google Apps already installed), so if the solution doesn’t work, you would at least get rid of GApps by hard resetting the phone.
Please share your experiences with the uninstall guide afterwards!