There shouldnt be crud coming out of the airlock! Sounds like you have over filled the primary and the fermentation is coming out of the airlock. You should split this up into t vessels until fermentation has settled down a little.
I've sometimes had this happen.. Usually with cider.. because I just bypass using a primary when I use juice.
Take the airlock off the carboy for 24 hours and cover the carboy with cloth.
Clean and sanitise the airlock for later, then using a cloth that has been soaking in some sulphite and squeezed out, clean the neck of the carboy to a finger length reach of all crap sticking to the glass. You may need to do this twice.
..reapply the airlock when the wine has finished the exciteable stage.
any crap left in the carboy will settle out, the wine will be fine.