We were unable to stop during taxi on ice (G550) the other night. The brakes worked, but the idling engines kept pushing us forward on the ice. A very uncomfortable feeling.
In the end, we had to taxi up to the hangar ramp, (which is heated 120 feet out from the hangar doors) , to be able to stop. Very little in the way of steering either. (they heat the ramp, so they can tow)
After us, a Citation jet tried using thrust reversers and he did a complete 360 spin on the ice right in front of the hangar.
Aircraft are not like cars.