Logic level converter 12v to 5v
Ok, so... I can see your question is a bit obscure, so I'll try to cover a generic approach.


Power If you need to power the arduino, you can get a cheap car USB adapter. If you want a "solderable" solution, I'd avoid linear regulators (such as a 7805)and go with a cheap switching module. For low power applications I usually buy some modules called mini360 (for instance here is a link from aliexpress) which are cheap and ok for even some hundreds of milliamps. You FIRST turn the potentiometer to set the output voltage (checking with a multimeter) and THEN connect the arduino to it.
Get status If you need to get the status of something (e.g. whether the lamp is on or off) you have to analyse the circuit. If you have to detect if either 12V or GND are applied, you can solve the problem with a voltage divider. But if the lamp is always connected to 12V and then the GND side is he controlled one then you will always force a (small) current inside it. If this is the case, maybe an optocoupler is the best solution. If the signal is a PWM maybe you need some filtering, if it is a digital wire maybe it is already at the correct voltage, .... You have to figure out what is the best solution for you
Set status If you need to control something (e.g. turn on a light) your best bet is to use a 5V relay. There are plenty of them, even modules with the transistor and diode necessary to control them with an arduino.


Here are some ideas and rough schematics for the three points






simulate this circuit &ndash; Schematic created using CircuitLab

Just one very big WARNING: you have to carefully double check that the modification does not blow something up (for instance, you can make a short circuit if the body computer tryes to force a wire to 12V and you close the relay to ground). So... Be very careful, since what you do can break a lot of things, and if you are very lucky the bill can be only some couple of thousand dollars (I'll let you figure out what happens if you are not lucky enough)