Welcome aboard, Brian.
First, a quick tip. Fill out your Bio. This helps us know who you are, what you have, where you live and wheel.
Example: Are we talking about a Sammy or Sidekick? How much added weight is on the truck like skidplates, bumpers, winch, etc.? This info will help get you better advice.
Now, I will assume you have a Sammy. You say the CALMINI 5.5" lift? Do you mean the Super 5" (aka the 5" shackle reversal), or the 6.5" bolt-on SPOA, as there is no 5.5 inch lift. The title line mentioned Super, so I assume it's the S/R.
Get system, I had it for quite a while before going bigger, and I loved it. But it will ride harsh for a while until spring break in, and you will gain more than 5" of lift when new (I had just 6" total lift when new).
The shocks CALMINI uses are a soft rate, but perfect for the weight of the truck. The springs are the thing you need to work with. They are designed to settle to a ~5" total height when broken in. That takes time and plenty of flexing, which requires lots of wheeling. They are also designed to carry the weight of 2 H/D steel bumpers, rock rails, big skid plate, roll cage, a winch, high-lift jack, 31" spare tire, full spare gas can, roof rack, cooler, weekend of camping gear, and 2 adults.
That's a lot of weight. If you had springs that rode real comfy when unladen, they would sag and tire quickly if subjected to the added weight one might expect to have when crossing the Rubicon, trekking in South America, or taking a weekend trail outting thru the Canyonlands.
Give it some time, and wheel the snot out of it with as much weight that you can safely carry inside. As you add rock protection and other things that add weight, you'll be glad you have a firm spring rate.