So if my house gets termites, I should just let them eat it away to dust because fumigating it would violate the rights of the termites? What about marmosets that bite holes into trees to eat the gum therein; do we arrest them & charge them with torturing the trees? For that matter, do we outlaw fruit groves on account of the trees being forced into involuntary servitude? I could go on, but the point is obvious.
This is essentially the environmentalist equivalent of Marx's anarcho-communist vision; pure ideological claptrap without a shred of grounding in the real world. That the UN delegations of even six countries would be willing to support anything to this effect is quite depressing.
Did you read it? It says you can still kill animals, mine, etc. I'm not really sure what the big deal is.
Or was killing tens of millions of Native Americans and taking over two continents not enough? Do we have to make fun of their religion now? 
I was a bit unfocused in my polemic there, & partially responding to the domestic law in Bolivia. As silly as granting the Earth rights sounds to me, I'll admit that it's not nearly as bad as granting rights to bugs.
As for the killing of the Native Americans, I don't see what that has to do with anything. I did not kill them myself, & while it being a religious matter does offer some perspective, I do not intend to check my comments over the past wrongs of European/American conquerors. As horrific as the Holocaust was, I reserve the right to criticize the policies of Israel wherever I take issue with them.
