If you are 36% body fat, there's no reason to worry about the micronutrients in your diet. Just (i) try to eat as few carbohydrates as possible—ideally all in the post-workout window, and (ii) maybe do a little cardio now and then—not really essential if your diet is on point, but can be good for your heart. If you do those two things, the fat will fall right off of you.
The only solidly substantiated reason to avoid dairy is allergies/intolerance. If you don't have a bad reaction to dairy, then eat a ton of it. When I dropped 30 kgs to get back to my current weight, I was eating as much as 3-4 lbs of nonfat cottage cheese a day. (I am also very impatient when it comes to eating. I don't like chicken breasts because they just take too long to eat, whereas I can inhale a pound of cottage cheese in a matter of seconds.)
Finally, dude, you are 36% body fat. If you want to lose over half of that, then you WILL have to lose at least a small amount of lean mass in the process. (a) Deal with it, (b) you probably don't even accurately know how much muscle mass you have right now, so take it all with a grain of salt.
If you want to lose 60-70 pounds of fat without losing any muscle at all, you're going to need either AAS, or a timeframe of years and years and years. Eh.
Just drop the weight and then do a clean bulk. Don't try to push and pull at the same time.