I called Motech last year and got an estimate for a 6.3 LS3 conversion on a 2011 JKUR. They told me $19,300. That included all parts, labor, and sales tax; all you have to do is drop it off, and then pick it up again 10 days later.
Motech is in Las Vegas and they specialize in LS3 swaps.
SOLD -- 2014 Wrangler Sport: Teraflex/Synergy 3" suspension lift, Fox 2.0 reservoir shocks, Tom Wood 1350 driveshafts, Dynatrac ProRock 60s w/ 4.56 gears and Eaton electric lockers, Warn front locking hubs, Currie Anti-rock front swaybar, Fox ATS, 37" Toyo MTs, Poison Spyder bumpers and rocker guards, Warn M8000s winch
2016 Ram 2500 Laramie Power Wagon