1) You're not going to "fuel" yourself with protein. You'll be relying predominantly on your stored fats and ketone mobilization, as well as stored glycogen.
2) It is possible to fuel 24+ hrs of aerobic activity from your fat stores, if you keep your intensity levels low enough. At higher aerobic intensities, you will shift to glycogen/glucose utilization. All keto-adaptation does is shift where that transition in substrate utilization occurs. Given the elevation gain per lap, and the fact you're on a single-speed, there will be plenty of instances where you're going to dip into your glycogen stores. Once you burn through those stores, you're going to be left in a mental fog wondering what the heck went wrong. So, even if you're planning on a ketogenic diet strategy (which is absolutely NOT all-protein...), I'd suggest having a back-up plan unless you plan to ride slow the entire race.
3) Is this your first 24-hour solo race, or just the first on keto? Maybe keep a note-pad in the pits and jot your perceived energy level/exertion each time you stop in to refuel/replace bottles, etc. If you have HR and power data, you may able to approximate the intensity level that keeps you out of the red, or at least manage to capture approximately when you've burned through enough glycogen to impair your performance, mood, mental clarity, etc. (granted, none of this is a substitute for actually calculating substrate utilization via indirect calorimetry). It might be useful data to help you prepare for the next 24-hour race...