When I first got my Kemper, I would hear examples of profiles I liked, download them, and then be disappointed because they all had too much gain and sounded buzzy, compared to the clips. And, all the stock rigs had the same issue. Sound familiar?
Your Les Paul likely has a fatter output than many other guitars - my old LP Custom has so much low end it can make anything clip. My other guitars were made in the 80s, or have '80s pickups in them.
Turning the Gain knob down on the Kemper front panel works really well, BUT, you don't want to have to do that with every Rig you try.
There is a really simple good, quick fix. And, it doesn't involve doing anything to your guitar.
First, find a clip or video of someone using a Les Paul and Kemper, with a gain profile that sounds OK to you (it doesn't have the be THE profile, just one that isn't too buzzy).
Load the same profile into your Kemper, and play your Les Paul.
If the profile sounds like it has too much gain, you can adjust the Input section of the Kemper to let your guitar get the same sounds you are hearing in the clips (turn the distortion sense down until the sound is pretty close to what you heard) You can STORE this input setting, and name it. If you decide you want more/less gain, no problem. Just adjust away, and store another INPUT setting.
Here are a couple Rig Exchange profile suggestions that may be what you are looking for (even if you don't change your input settings):
AGL SOME MARSHALL - he included Boosts in the stomps of the rig - try it with them all off, first. But, there is a fat tube screamer here, too. This rig gets darker with louder guitars.
JUBILEE OPEN sm57+C3 - this is one of mine, so it has been Les Paul tested;) If it has too much gain with your guitar, turning the Gain knob down a little will mellow it out.