Sorry for the lack of brevity, state laws are like that. Short answer is that windshields are required with working wipers.
Looks like the only exemption for windshield is a vehicle made specifically for the military as long as occupants have eye protection (sec 6). Nobody else passes.
Title XXIII MOTOR VEHICLES
Chapter 316 STATE UNIFORM TRAFFIC CONTROL
316.2952 Windshields; requirements; restrictions.--
(1) A windshield in a fixed and upright position, which windshield is equipped with safety glazing as required by federal safety-glazing material standards, is required on every motor vehicle which is operated on the public highways, roads, and streets, except on a motorcycle or implement of husbandry.
(2) A person shall not operate any motor vehicle on any public highway, road, or street with any sign, sunscreening material, product, or covering attached to, or located in or upon, the windshield, except the following:
(a) A certificate or other paper required to be displayed by law.
(b) Sunscreening material along a strip at the top of the windshield, so long as such material is transparent and does not encroach upon the driver's direct forward viewing area as more particularly described and defined in Federal Motor Vehicle Safety Standards No. 205 as the AS/1 portion of the windshield.
(c) A device, issued by a governmental entity as defined in s. 334.03, or its designee, for the purpose of electronic toll payments.
(3) The windshield on every motor vehicle shall be equipped with a device for cleaning rain, snow, or other moisture from the windshield, which device shall be constructed as to be controlled or operated by the driver of the vehicle.
(4) Every windshield wiper upon a motor vehicle shall be maintained in good working order.
(6) A former military vehicle is exempt from the requirements of this section if the department determines that the exemption is necessary to maintain the vehicle's accurate military design and markings. However, whenever the vehicle is operating on the public roads and highways, the operator and passengers must wear eye-protective devices approved by the department. For purposes of this subsection, "former military vehicle" means a vehicle, including a trailer, regardless of the vehicle's size, weight, or year of manufacture, that was manufactured for use in any country's military forces and is maintained to represent its military design and markings accurately.
(7) A violation of this section is a noncriminal traffic infraction, punishable as a nonmoving violation as provided in chapter 318.
History.--s. 1, ch. 84-296; s. 15, ch. 93-164; s. 208, ch. 99-248; s. 1, ch. 2003-286; s. 1, ch. 2005-47. Last modified: November 21, 2006
"I know not with what weapons World War III will be fought, but World War IV will be fought with sticks and stones." A.Einstein