Success!
Some tomato paste and water made my jerk chicken paste into a sauce.
I can now recommend jerk chicken pizza.
Crust:
http://www.cookingforengineers.com/recipe/172/Pan-PizzaFor wheat dough, add 25% more milk/water, and 50% more oil. Also, note that this dough makes 2 pizzas. And also that you should kneed it much more if you plan on fermenting it (making a sourdough).
Chicken + Sauce:
https://myjamaicanrecipes.com/real-jamaican-jerk-chicken-recipe/Throw ~1 tomato or can of tomato at it as well, it will be wetter, but that's good for a pizza. Habanero ~= scotch bonnet. Also, halve the amount of chicken. You want some sauce to cover the pizzas.
Blend the paste real good, because you don't need seeds changing the average level of spice.
Cook the dough a bit first. Either by putting it on a pizza stone while you make it, or partially baking it before you toss sauce and toppings on. Doesn't need much, just enough to make it possible to move without tearing.
Put some sauce in the middle, spread it with a spoon, repeat until all but the edges are sauced (you've seen a pizza), put ~1/3 of the cheese on it so the toppings don't pull off when you bite into it, put all of the toppings you want on (jerked chicken, bell peppers, maybe more onion? whatever), cover with the rest of the cheese. Bake at the highest temperature your oven will allow for 10-15 minutes. Pull out, and let it rest before enjoying (unless you like burning and degloving your mouth, I don't judge).