Shows how out-of-date I am, I thought that USAF was also using P-3s.
But regardless of the aircraft type, I wouldn't want to get stuck on top of a storm like that! My worst weather experiences were in gliders, either getting stuck under a nice cumulus which then changed to a Cb or once at 27K in mountain wave over Utah which turned turbulent.
The aviation weather centre currently shows "severe" turbulence off the Florida coast at 37K feet.