The trend is not a good one for the interaction between wildlife and our species. There are some limits that seem built in to developed societies, as population growth tends to taper off in rich countries. But developing countries that want to achieve that level of wealth have to expand into wild areas to house their growing population. Plus, the developed countries depend on farms to feed them, and much of the expansion which destroys wildlife is due to the replacement of the wilderness with farmland.
There would have to be a revolution in our taste in food or in agricultural technology to change that trend. I've seen prototypes of indoor farming, which might be a possibility: you grow plants artificially in racks or layers indoors. They're even growing artificial meats that supposedly taste like real meat.
Something revolutionary like that would have to occur to save wild species from human ambitions. Of course, the more wild species we kill off, the more precarious our survival too, since we depend on the links between species in the ecosystem.