Mobs from different dimensions should attack each other

What I mean by this is that all mobs from the nether should attack all end and overworld mobs on sight. end mobs should attack nether and overworld mobs on sight. And overworld mobs should attack nether and end mobs on sight. Obviously the mobs that don't attack you will stay like that. I think this would add some lore and backstory to the game since Minecraft doesn't have this yet.