Is there a way to make all overlays unlocked immediately?
Solution 1:
With an unmodded game? No
With mods? Yes sure, you can just use the "unlock everything" mod they allready provide with the game.
But note that this disables achievments. There is/was a mod to enable them again, but at the moment it is not conclusive if it still works. Just search the steam workshop for "enable achievments"
Solution 2:
I found this mod: http://steamcommunity.com/sharedfiles/filedetails/?id=409809475
It unlocks the overlays - but none of the other unlockables.