Prepare the garlic. If your garlic is a bit older, cut each clove of garlic in half, removing any green sprouts in the center.
Then combine the garlic and salt in a food processor, pulsing until finely minced together, scraping the sides of the bowl as needed.
Add about 2 tablespoons of oil and pulse everything into a smooth paste.
Then, with the food processor running continuously, alternately drizzle in about ¼ cup of oil and ½ tablespoon lemon juice until all the ingredients are used; this very slow process could take up to 10 minutes, as adding them slowly creates the signature emulsion. If your emulsion breaks, slowly drizzle in up to a tablespoon of ice water, until the emulsion reforms.
Finally, blend in the chile powder (and honey, if using), about half a teaspoon at a time, until your sauce reaches your preferred level of spice.