Category 1 will ensure that, if either category prefers to continue to exist, we may very likely need to find another planet to keep doing what we're doing. Category 2 on it's own seems much less likely to wreck life-support on our current planet.

I can see the initial appeal, but right now it would seem that those people that dig the fast innovation and disruption the most are clueless on how easy it is to wreck this system by accident. Remember how CFK's were once considered a wonderful invention, as refrigerators no longer needed to be the size of a building filled with highly volatile gas. A rather unfortunate side-effect turned out to be the difficulty of getting the particles out of the atmosphere again. By the time it became apparent that this buildup up there would have rather drastic consequences for life down here, products containing CFK's were already massproduced and life without these products was unimaginable.

Apart from all the obvious, and all the known ways in which Big Tech keeps pushing towards climate conditions excluding organic, mammalian lifeforms, it no longer seems very far fetched that somebody will accidentally accellerate us to that point. As the moving fast part is largely a tactic to avoid accountability for the breaking things part, the person doing the breaking may be just as unaware of the danger that has been created, as the people they've razzle-dazzled, that will eventually realize something has been broken somewhere along the way... and a quick look at advertisements, American style, teaches us how even unnecessarily dangerous practices (like adding lead to just about everything, instead of figuring out how to do the same stuff without it) can be sold for ages and ages, long after people have started to realise the danger that has been introduced.

No matter how fast you move and how much you break, turning another planet into a place where people could live (not even talking about the ability to indulge in cultivating societies) is something Big Tech is unable to achieve over the next couple of years, and it remains to be seen if it will be able to reach a stage where they could make that happen with some certainty. Meanwhile, only a decade or two ago, Big Tech did actually have enough proven technology, insight and expertise that would have sufficed to nudge living conditions on Earth back within desireable margins. A lot of the data may have been poisoned, knowledge and tech has been lost, but the chances of achieving that seem well within Big Tech's grasp - were it not for the apparent inability of certain parties to refrain from moving fast as they're breaking stuff.

Long before anyone is actually in any position to start terraforming on Mars, much of what Big Tech is actually capable of doing reliably now, will no longer be feasible nor within their grasp.

Apologies if I'm ranting, but no, I can't see both 'societies' continuing to exist and develop in their own ways. If group 1 could put the disruption on hold while fixing and rebuilding what is needed to keep our habitat fit for our species, and if some kind of safety mechanism would be invented to ensure that whatever they might accidentally break next, it will not be life itself,... only then could I easily enjoy and appreciate both ways of life.