A320 First Officer reported a near collision with another aircraft during pushback while connected to the tug. The pilot crew alerted the tug operator; along with the ramp agents to stop the aircraft and avoid the collision.

Narrative

We were cleared to push [gate] XX. While pushing back it appeared as though we were being turned at a highly unusual angle. Our tug driver turned us more and accelerated on a path directly into the gate XY aircraft. At this time people started running out from nearby gates screaming and waving to stop. Wing walkers saying to stop. We were now on path to hit the aircraft and had several people standing right in front of our number two engine that was running trying to wave at the tug. They realized this and moved away form the engine. Both the Captain and I started yelling stop stop stop stop while all this was going on. We came to a stop maybe five feet from the other aircraft. The tug driver still didn't understand why we told him to stop. After being stopped and everyone calmed down. We asked if the tug was driver was okay and if he understood. He did not. Operations; Ramp; and supervisors; and Dispatch were all notified of the incident. Ramp pulled the tapes and was astonished by this event and how close this was to two planes colliding and one or more people endangered of being sucked into an engine.Cause: The tug driver is/was behaving dangerously and recklessly