Expelling mucous is the first stage of cleansing the itnestines, the candida is under the mucous, so it is a good sign when it comes out as you now can reach for candida. Keep going!
Turds, link together by a small thread are fiber surrounding a thread of candida (do you use psyllium... it would generally cause such evacuation of candida threads.
Floating stool denotes the presence of oil: you do not metabolise them properly. This is common with candida, due to poor thyroid function. So you need to improve your digestion and you might want to have your thyroid checked.
Irritable bowel might indeed have different causes. Cleansing your intestine (fiber: psylium and raw veggies) will help, wahtever the actual cause is.