What nobody has addressed here so far is that deep cycle batteries take a different charging supply than what a traditional alternator puts out....
Some real quick physics here. Volts x Amps = Watts. Now, in your house, 5 100 watt light bulbs will require about 4.2 amps (@ 120V). To run these...
I don't discount the importance of ventilation and it is good that you pointed that out. However, when the vehicle is moving (and charging) there...
In theory this will work. Don't know if you can just go out and buy the adapter /charger plug you refer to. In practice, not that great an idea....