Even if your truck has a strong enough engine and transmission to tow that trailer, it really doesn't have the the rear axle and receiver capacity for something that heavy. The tongue weight will be close to 15% of the gross weight rating of the trailer whether loaded or not. Once you load up your family in the truck, you will find that you have little left to tow this kind of toy hauler with a 1500.
FWIW: I was at my 12.5K lb receiver limits when I towed a Weekend Warrior FB2200 with a larger truck.