Lol. Sadly I don't think Neo - Tokyo is about to explode. But rather have an alien death machine dropped upon it. The psychic god powers might be useful....

And yeah they would of had to have at least some level of interaction between one another probably in the form of MANLY FIGHTS TO THE DEATH or you know both awkwardly reaching for the last burger in the secret government lunch room. XD But anyway yeah I would imagine there would at least be a begrudging amount of respect between the two on the similar giant space aliens ruining everything for the both of them thing and the fact that their goals are similar if only the application to achieve them being different.