What you describe sounds like a relatively simple solution because it fails to recognise the ideological bases of analysis that convert what we know, think and feel into what we do. — Possibility
Ideally, the Church would have embraced Galileo as discovering the means to decode the word of God made manifest in Creation, and so imbued science with divine authority, such that science would have been developed and integrated into theology, philosophy, politics, economics and culture over the past 400 years. That's not what happened.
Instead, science was decried as heresy, developed only slowly, and so was deprived of implication beyond that which was useful to ideology. Government and industry applied technology for power and profit, without regard to a scientific understanding of reality. i.e. Trump digs coal. Natural enough for a vote grubbing politician I suppose, but philosophically incorrect - as demonstrated by the climate and ecological crisis threatening extinction.
Clearly, science is the injured party. Clearly, science has the answers. The fact the ideologue cannot see the answers from where they are is not the fault of science. It's a failure on the part of ideologues to evolve in relation to the progress of knowledge - from 'less and worse' knowledge, toward 'more and better' over time. Religious faith is written in stone, and that stone is dumped into the river of knowledge to dam the flow.
Now, this is where it gets complicated, because we cannot rewrite the past 400 years of history. We cannot tear it all down and start again. If we want a sustainable future, we have to get there from here. The ideal is off the table. But that doesn't mean we cannot learn from what should have happened, but didn't. We can "look beyond the ideological battlements" - to the ideal, and on that basis do that which is scientifically necessary to a sustainable future.
We can do this precisely because the implications of science can legitimately be limited to that which is necessary to survival, staring with magma energy - which is the only source of energy large, constant and concentrated enough to meet our needs. If we don't harness magma energy, we cannot survive; and so it is the existential necessity to which we can agree, not science as an ideology per se.
Limitless clean energy from magma will allow us to account for the externalities of capitalism, without internalising those externalities to the economy. This means we don't need to pay more and have less, stop this and tax that to gain environmental benefits. We can encompass the externalities of capitalism within a magma energy bubble - internalising them, without contradicting our ideological motives - by using that energy for carbon capture and sequestration, desalination and irrigation, total recycling, hydrogen fuel production and so forth.
I've been thinking about this for years, and it is very complex. You are at the right observatory, but looking down the wrong end of the telescope. While on the one hand, philosophically, science is true - and religious political and economic ideology is merely conventional; politically, the implications of science are limited to that which is necessary to survival, starting with magma energy; because if we don't apply magma energy, all further implication is moot anyhow. We will inevitably become extinct. Once we have applied magma energy technology, and have limitless clean energy at our disposal - the equation is changed, and any further implications of science need then be viewed from that perspective.