Well we've been the dominant species on our planet for tens of thousands of years, so I'd say it's gone pretty well so far.

Pretty well so far for whom? We've initiated a mass global extinction. There wasn't ever a competition to take over the world as a species - no award, no prize - no one and nothing cares.

The only way we've done it is by eliminating everything in our path. We've been excellent at justifying eliminating entire ecosystems - when will we stop?

Probably right before we've justified eliminating entire countries of people with the weapons of death we've developed by extracting every last resource for the ground by digging it up.