So could I just use a voltage divider to shift the voltage at the eq input and then use a cap at the output?
No. You don't need to shift the audio signal. It has already been shifted for you with the capacitive coupling from the headunit.
Two popular options:
1) Create an artifical, "virtual" ground which is exactly halfway between 0V ground and the vehicle battery voltage (12V "nominal", but up to perhaps 14-15V). This circuit will take whatever vehicle battery voltage you have and divide it exactly in half.

You can call that halfway voltage "ground" INSIDE your EQ circuit. As long as the INPUT is capacitively coupled (which is always a good idea in any case) and the output is capacitively coupled (also always a good idea in a car circuit), the circuit INSIDE your EQ will be quite happy operating on what appears to be +6V and -6V (relative to the internal virtual ground). There are hundreds of circuits that show how this was done in commercial products. You can learn a lot from reading other people's schematic diagrams.
2) If you think you need more than +/- 6V, then use a DC-to-DC converter. There are literally dozens (or scores or even hundreds) of these things for sale on Ebay an other places. Most are so dirt-cheap that it will probably cost more to ship than it costs.
Some examples:
http://www.ebay.com/itm//282513241853
There are dozens of these:
http://www.ebay.com/itm/262752631334
http://www.ebay.com/itm/311419151111
And many many more like these....
It is hardly worth DIY when you can get these things so cheap.
They are IDEAL for vehicle circuits.
They all accept a wide range of input voltages with 12V well within the design range.
And they put out balanced DC voltages designed to operate audio circuits using op-amps.
Exactly like your EQ circuit.