Godliness must involve responsible care for environment and the natural world. Right?

Neither the Old nor the New Testaments show any particular concern about the environment and the natural world. Of course, prior to the Industrial Revolution, human society didn't represent the threat to the biosphere that it does today.

Those old patriarchal religions usually have a credo that is unbalanced, domineering, and separate from the natural world as if it's a possession. Don't expect a patriarchal religion to show any relationship to the natural world. The patriarchy is indifferent to and isolated from from the natural world. It is strictly egocentric.

Do you mean just like todays beliefs in countries:
- leaves the world unbalanced (dirt poor countries exploited by rich countries etc)
- domineered (as per above)
- separate from the natural world as if it is a possession (as in, look how much destruction of nature they cause)?

Both the ideologies of old patriarchal religions, and the ideologies of todays countries (the belief in countries/government/floating currencies, nationalism, patriotism, capitalism, greed is good etc) cared little for the environment. But as 'environmentalism' has arisen, so other ideologies have started to question their own concepts of the world as it relates to them (and to adapt their ideologies to it....to some degree).

Why should religion be any different in this respect?

Wrong.

We are set up as co-creators of the world by God.

It is hoped that we are responsible, but it's not a commandment. And thank God for that. We humans don't know what we are doing. As evidence by the plan of some environmentalists to literally block the sun.

We would screw things up way worse if caring for the environment was a moral imperative. Some of the alt-energy systems do things like cut up birds or create water stagnation.

Out of curiosity, where does it say humans are co-creators of the world? And if such is not outright stated, what makes your view any more right, or wrong, than the OP's?

I would also ask how (per OP) distruction = creation (as in your co-create).

Btw....notice how one can ask another person what their views are based on / ask them for further information on their views ?

Mostly in Genesis

Goddessliness

The patriarchal God is anti-nature, that is, mind is separate from and superior to nature.

The goddess represents a balance.

Then the LORD God planted a garden in Eden, in the East, and there he put the man he had formed. He made all kinds of beautiful trees grow there and produce good fruit.

A stream flowed in Eden and watered the garden; beyond Eden it divided into four rivers. The first river is the Pishon; it flows round the country of Havilah. (Pure gold is found there and also rare perfume and precious stones.) The second river is the Gihon; it flows round the country of Cush. The third river is the Tigris, which flows east of Assyria, and the fourth river is the Euphrates.

Then the LORD God placed the man in the Garden of Eden to cultivate it and guard it.