The only thing you can do without hardwiring the detector is to change the power lead on your cig lighter from a 12V continuous to a 12V ignition wire. For instance, you could add a fused wire to an existing 12V ignition circuit and remove the 12V continuous lead on the back of cig lighter and replace it with your new lead.
Or...you can add a second cig lighter on a 12V ignition circuit.