Nope, a seatbelt protects you, a mudflap protects those behind you.
Then you're not using your car to its full extent.
I've driven with no brakes at all, the parking brake and the gears was enough.
If it juddered, it sensed you were already skidding. It has seen one wheel travelling slower than the other. You would have skidded without it.
Why would a slight vibration scare you?