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Not sure what you mean by overthinkinig. That schematic shows pretty much the minimum circuit required to do what you want (similar to those ready-to-use devices you mentioned in your initial post).That diagram is valid for using a 3-lead latching Hall effect device and a MOSFET transistor "amplifier" to increase the current sinking capability. But if used as shown (using 12V) the LEDs would release their magic smoke instantly when they are fist turned on (no current limiting resistors are being used.Depending on the specs for the MOSFET transistor, this circuit should work, and if using a 3V Lithium button-type battery you can get away with not using the current limiting resistors for the LEDs (since the battery cannot provide high enough current to overpower the LED.Another thing to consider is that a transistor acting as a switch does drop some voltage across source/drain (or with bipolar transistors across emitter collector), With only 3V power source might not be enough voltage to fully light up white LEDs.
I really do not want a supernova in the cars either so the simple circuit helps with that, right? Is there a different transistor I could use to reduce the amount of drain then? At 3V is the transistor even needed, and I see no need for a capacitor either as in Sumner's diagram either?