>>16718093New Japan isn't a threat and AEW is also not a threat, but I guess AEW counts as actual competition for WWE when no other company really does. I do think the fact that Tony would get mad is a big reason that any WWE/New Japan crossover would be unlikely right now. And I'm sure WWE would never do a big co-promoted show like Forbidden Door. 
Still, I'd love for WWE and NJPW to work together. I can imagine Ilja Dragunov and Charlie Dempsey in the G1. Imagine Gunther in a New Japan ring, that would be fucking kino.