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.
2014 Wrangler Sport: 3" Teraflex lift, 35s, Dynatrac 60s, Poison Spyder armor, Warn winch