Floaters in my finished cider/wine

[fullmoonv]

OK, So I made a really good Black Cherry wine/cider. I clarified it for days, and every time I open my bottle, the bubbles start flowing and a lot of the yeast etc comes to the top and floats. My friend noticed it right away. I know it won't hurt you but it makes it thick and kind of gross. I tried to filter it through a coffee filter but it just plugged right up.any suggestions to get rid of the sludge when it's on top AND bottom???
Thanks!

PS. I have a friend who makes plum wine with all the fancy equipment and wine bottles and all... I noticed the same problem in his wine too. Still tastes great, just kind of gross!