Let's keep in mind that a car alternator has 0.5-2kW and you need to burn <0.1l of gas to charge that battery once with the alternator. I'm not sure its worth all the extra equipment and cost to go full solar.
Edit: The solar panel probably gets you 360Wh to 900Wh per day, depending on how sunny the region you live in is. This is not enough to run a household refrigerator, but enough to charge your phones or laptops and some lights.