Peel cucumbers, halve lengthwise, and scrape out the seeds with a spoon. Cut the cucumber into 1/4 inch half circles, and place into a glass or ceramic crock. Dissolve the pickling lime in about 1 quart of room temperature water, pour over the cucumbers, then add additional water until the cucumbers are covered by 1/2 inch. Let stand at room temperature 24 hours.
Drain the cucumbers and rinse well with cold water. Place into a large stockpot, and cover with cold water. Allow to stand for 3 hours, then drain and rinse again.
Return the cucumbers to the pot, add the food coloring, alum, 1 cup vinegar, and enough water to cover by 1/2 inch. Bring to a boil over high heat, then reduce heat to a simmer, and cook 2 hours. Once the cucumbers have cooked for 2 hours, drain and allow to cool a bit before placing into the glass or ceramic jar.
Stir together sugar, 2 cups vinegar, 2 cups water, cinnamon red hot candies, and cinnamon sticks in a saucepan over medium heat until the sugar and candies dissolve. Pour this mixture over the warm cucumbers, cover, and let stand overnight.
Pack pickles into pint jars, and process in a hot water bath for 15 to 20 minutes. Refrigerate any jars that do not seal.