Well, if you want to resent rich people for being rich, that's your prerogative, but I don't think there's much benefit in seeing it that way.
You mentioned planet ecosystem and consumption, so let's use energy as an example. The richest people consume much more per capita than everyone else, but still represent a tiny fraction of overall usage. So no matter how you deal with the rich, it won't solve that problem. Meanwhile, everyone acts in their own self-interest, so you have developing nations increasing their per capita energy consumption as their standard of living increases, and overall energy use goes up. The planet doesn't know the difference in who used to energy and whether it was justified/deserving/whatever. The result is the same.
So what's the solution? You could decrease wasteful consumption (commuting, global shipping as labor arbitrage) and you can change how energy is generated (i.e. renewables), which you could lump into political and technological changes. The easiest way to do either is to align people's incentives so they'll naturally drive those changes, since again people act in their own self-interest. Some rich people will lose out in that transition and try to oppose changes, others will benefit and try to further them, but the net effect isn't necessarily negative. And of course energy use is just one example here.
So these problems are kind of orthogonal to how you feel about rich people, meaning that if you let yourself get distracted with that, you'll have little impact.