drive out vs push and shove

drive out

• to push or to pull, i.e. to force, (someone or something) out of somewhere 

• Used other than figuratively or idiomatically: see drive, out. 

push and shove

• Used other than figuratively or idiomatically: see push, shove. 

• To use one's strength to force oneself through a crowded area. 

• Inconsiderate and unregulated behaviour.