Have your wheelalignment checked. Usually this is done before mounting new tires. since the wear pattern can tell what is wrong with the wheelalignment already.
It means your front tires need balancing
Trade the rear tires to the front and the front tires to the rear. Every other time you do it, trade the right front tire to the left rear and right rear to left front
It will turn when driving because it is still hooked to the front tires. The only disconnect is on the transfer case.
Yes, the shaft is still connected to the front tires through the front differential, so it will turn while driving.
This problemsounds like the tires might need to be rotated and balanced. the car might need to be aligned if the car pulls to the right when you are driving straight.
It could be as simple as a soft right front tire, check the air pressure in all the tires.
get front tires balanced
Could be the tires, or your front brake rotors
The powered tires. On a front wheel drive car, the front wheels. On rear wheel drive, the rear wheels.
Tires out of balance, bent wheel, worn suspension or steering parts, bent driveshaft.
try new tires and a front end aiighnment.
If you are driving in 4 wheel drive, put them on the front tires. If you are driving in 2wd ordon'thave 4 wheel drive, put them on the back.