I know several guitar players who've practically dedicated their lives to getting a soft, smooth pick attack. It's hair-tearing work, from what I can tell, but when you listen to someone like Gambale nailing it I do get it, it's pretty damn sweet.
I don't think the answer is really in Kemper parameters though, but in technique, pick choice (and pick angle, pick position along the string, picking velocity etc.) and perhaps guitar setup too. Sorry if this seems basic to you, but in my experience, light picking close to the neck with a thick pick made out of a soft-ish material are all things I'd try when I want a smooth sound. Angling the pick (like most virtuosos do) does result in a sharper attack too, so if you're REALLY dedicated to this, I'd say try playing with the pick more perpendicular to the string. It's not "proper" technique but you do what you gotta do for tone. Sadly, this goes for pick tip too. Round tip picks are harder to play with for me but they do produce less attack. I think pick material is a big thing too, I've tried a lot of Jazz III's for example and it's remarkable how different they all sound (Jazz Red 'till I'm Dead, btw! ). Picking closer to the neck is a super powerful thing but it does introduce a lot of harmonic activity so you need to be a little more precise if you just want the "pure" note when picking up there.
Kemper-wise, I do find that an EQ is a powerful tool to decrease pick attack. Especially when placed after the cab. Placing an EQ before the amp to boost in the 900-1k area quite strongly into the amp is also a good way to shift the vibe of an amp into more of a saxophony, legato-friendly vibe. It can be a little overkill through really nasal profiles, but 9 times out of 10 it's just killer. I keep an EQ like that locked in my KPA just so I can try it on any profile anytime. It's also worth repeating that lowering the Definition parameter in the Kemper helps here too, because it introduces more bass into the gain which causes the highs to clip earlier too, smoothing out the transients.
Again, sorry if this is all old news to you, just throwing everything I know out there in case it helps!
- Edit - Oh right, Fuzzes are great too. Growing up being a Petrucci fanboy I always hated them because I DID want that percussive, sharp pick attack and Fuzzes kill that right off. But if you want smooth, they do it. I was surprised to learn just how many fusion guys use fuzzes, thinking they were just for Stoners and Doom-heads, but nope.