Doing a liver cleanse and adding all that oil to a fasting system puts a screeching halt to the fasting process so you would be back at day one. Adding all that oil to a system in fasting mode also has the potential to make one violently ill. One needs to do either the epsom salts or enemas when doing a LF or many of the stones will get stuck in the colon and reabsobed though the system.
Passing mucoid plaque is also highly unlikely on the MC. Sounds like you are doing mish mash of things and who knows what is what. Passing ANYTHING past the 3rd or 4th day IF you are doing the MC as written is not likely and the stuff you are describing would be an indication that you are highly congested. One should not attemp the MC unless you were having at least one good unassisted poop per day pre fast. The indication would be that you need to address your congested colon first either with dedicated colon cleanses or colonics.