I looked at this a while back and thought - the perfect place for a DS18B20 1-wire probe. They are available as a sealed probe with a meter of cable for less than 10 bucks and pre-calibrated independent of supply voltage.
I got some time to noodle about with this this morning, and I believe it offers a pretty simple solution. The schematic is shown below.
The bulb and pressure switch are the stock parts. The DS18B20 operates off 5.5 volts maximum. So first, we add a zener diode prior to the bulb to essentially remove it from the circuit except when the pressure switch is closed (indicating low pressure). R1 (paralleling the bulb and zener) and R2 form a voltage divider to supply 5 volts to the DS18B20 (operating off of parasitic power - Vdd not connected) with the battery voltage at 14.7 volts. The 5 volt zener on the DS18B20 data line protects it from over-voltage, and I believe some low-value series resistor will be tolerated in the data lines to the DS18B20 and the micro.
A micro with a small LCD display in the car will display temperature, accurate to better than 0.5°C. This could be an Arduino and sample code is available to display a temperature on an LCD display.
When the pressure switch closes, the 10 volt zener will have 12+ volts across it, so it will conduct, turning on the existing bulb. The micro input and DS18B20 data line will be at near-zero volts when this happens, so they shouldn't be damaged.
Feel free to pick this idea apart