You guys need to research diagnosing death wobble. New shocks, steering stabilizer, and especially tires won't do anything to correct it. You have bad bushings or joints somewhere in your suspension and it needs to be resolved ASAP before you outright lose control on the highway.
Mine: 2012 JKU Sport, Deep Cherry, Auto, 3.73s, Rock Krawler 3.5" Flex, chitty Procomp shocks, JKS Discos, Rubi rails, A.C.E. sliders, EVO ProTek Skids, EVO Rockstars, JCR Dagger with lights and tire carrier, PSC Brawler Lite with custom stinger and grill hoop, ENGO 10k with synthetic, 35x12.50-15 BFG KM2s, MOPAR flat flares.
Wife's: 2004 TJ Sport, 4.0/Auto, 2" BB, stock JKU shocks, JKS front LCAs, 31x10.50-15 BFG ATs.