No, the profile folder stays on system storage. There is an extension that will provide a copy of the current profile state to the sdcard. The copy has no interaction with the profile in system storage.

https://addons.mozilla.org/en-US/android/addon/copy-profile/

so, If I use the addon it moves it all over, but I can't access it. I am assuming the addon can be used to move it back over say if I did a back up and restore on my device?

Also is their a way to access the bookmarks thru the file manager built into my tablet, I ask because I hate the sync system it doesn't work, screws all my bookmarks up and deletes some misplaces others.

I know i can import bookmarks from other browsers but The browser needs a export option,

hell the area for importing is labeled export and import.

The addon does not move it copies. It also does not do import.

You can only access the profile folder on a rooted device.