A Copernican Revolution in religion

There are several forms a Copernican Revolution in religion might take, but they all share one feature: they challenge the notion that mankind is of unique, central importance to God. This is not, necessarily, to say that God has no care for mankind at all; but it is to suggest that God's love for (let's say) whales, sheep, lions and starlings is just as important to Him as his love for homo sapiens. One consequence of that would be: we should reconfigure our human practices of worship to make them more like the practices of worship of whales, sheep, lions and starlings.