If you parked a bulldozer or a tank on wet ground and the temperature dropped to well below freezing, would the ice glue the tracks to the ground? Would the ice be strong enough to keep the dozer/tank from moving?
No, only one section of track reaks loose at a time so the holding power would not be that great.
Note that snow and ice can collect between the road wheels and freeze immobilizing the vehicle.
Also some of the early half-tracks did not have enough power to pull frozen track segments off the ground in some cases.
But with modern track designs and modern engines this is a non-issue.
Parking in mud then having it freeze is definitely a problem.
If it’s going to freeze overnight for example you want to clean the mud from the track areas and park on boards.
If you don’t take precautions you will be lucky if you are simply unable to move the equipment.
It is likely that you will twist a shaft, split a case, strip a gear or cause some other significant damage by trying to drive it out when it is frozen to the ground.
This can also happen to rubber tired machines as well like plow trucks and such.
Just an anecdote.
I remember years ago on the farm, we had parked the pickup truck in about an inch of water over an already icy ground.
The next morning, all the water was frozen.
Putting the truck in gear and releasing the clutch was enough to break free the rear wheel but the truck was going nowhere due to the front wheels being stuck to the ice and the rears were effectively on the ice.
Jimmying the steering wheel back and forth a few time was enough to free the front.