Drain Cleaner: The most common type are liquid caustic solutions containing sodium hypochlorite NaClO(bleach), sodium hydroxide (lye), or potassium hydroxide in concentrations up to 40 percent. These are used to dissolve grease and hair clogs.
As you can see above "These are used to dissolve grease and hair clogs.". Your main problem is the hair clogs. Just get some Draino and problem is fixed.
NOTE: I would not recommend pouring this stuff into your shifter.