Basicly has been said , in order to do what you want , the batteries & electronics invoved would take up about half the bed of your truck
And the cost would be [ at 5,000 watts , you should also have 220vac] almost duable the cost of a Miller welder/generator , gas/$3,000 ,
then you may well get the diesel , welder/genset , about $7,000 .
It can be done , I've been into the alt. energy for about 30 yrs. , and avarge house , will cost min. $25,000 , with rebates , ect. you get money back & it pays for its self , but without being hooked up to the grid you can not get any rebates/ect.