Lyle McDonald's Rapid Fat Loss Diet is a crash diet. He actually states this. I would strongly recommend against crash dieting, especially a PSMF. You will likely be miserable the entire time, break down at the end, gain it all back and then some, then feel like crap for weeks later as you now look even worse. IMO, stay away from it, cut your calories a little at a time and slowly lose the last few pounds over 10-12 weeks.
Don't put your trust in anyone on this forum, including me. You are the key to your own success.
The Caveman Eats: My Primal Recipes for Athletes and Average Joe's Alike
I've experimented quite a bit with long duration fasting. I've found that one 24 hour fast a week is about the perfect level for me. When I did two 24 hour fasts in a week I noticed I was sacrificing too much muscle tissue. I was lighter on the scale, but all my hard earned muscle that I built over the years was being eaten away like a cancer. Went back to just one fast a week and the muscle loss stabilized and all is well again.