Absolutely not. No offense, the 5150-III is a great amp, but if it sounded like the Jose, I'd still own one.
The only amps that have overwhelmed me with the Jose Plexi tone is the Cameron modded Marshalls (in person) and clips I've heard of a few other companies here on the forum (can't think of the names right now).
That Jose Plexi tone makes the hair on the back of my neck stand up and few amps have that fluid, unbelievable sound.