Difficulty closing front door
I think you are right the cable was installed by a drunken sailor. First things first. Drill a hole with a long skinny drillbit through the doorframe (home improvement store) which is a little bigger than the cable than use a wire and some tape to fish the wire through the hole and back to the bell. The bell has low voltage and is save to touch (I am not liable !!!). Take pictures before you uninstall the wires. Now see where you at with your door.