Re: Would 32's..
Looks like you have 15'' rims from your truck pic so they should fit on those. My 32's fit without a t bar crank. I just cranked them to make the truck close to level for looks. So your good to go for now.
01 XLT 4x4, 4.0, 4.10 LS, Auto, 32's for summer, Toolbox, E-Fan