Add all of the margarita ingredients to a cocktail shaker with a handful of ice to chill, and shake vigorously until well-blended. Adjust the strength of alcohol as desired. Add more mango puree if you prefer a creamier texture or sweeter taste.
Mix cayenne pepper and salt together and spread on a plate or flat surface. Swirl a slice of lime around the rim of the glass and then press the rim into the mixture on the plate. Sub sugar if you prefer a sweeter rim.
Add a handful of ice to your prepared glass and fill with margarita cocktail. Garnish with a few slices of fresh jalapeno and a lime wedge.