Difference between Make the feathers fly and Make the fur fly

make the feathers fly —(coll.)

1. (also: make the dust fly) start working with the utmost vigor:

• When Mrs. Hale did her spring cleaning she made the feathers fly.

2. quarrel violently; create a disturbance:

• Let’s keep our sense of humor and try not to make the feathers fly in all this controversy.

make the fur fly— = make the feathers fly 2:

• When the boss finds out that they failed to secure the contract, he will certainly make the fur fly.