You have as hypothesis that the current process will stop in very short time leaving things like today, more or less. I don't know when it will stop, but before

You have as hypothesis that the current process will stop in very short time leaving things like today, more or less. I don't know when it will stop, but before it does, it will have to deal with the excess of greenhouse gases on the atmosphere until reaching an equilibrium point, and the positive feedback mechanisms that are being triggered already (and that they are emitting their own quota of GHG). It not may stop till the yearly global average temperature is several degrees over what is it now, CO2 in the air or not, and that will not bring nice living conditions. And as a difference of the other times in Earth's history that it happened without massive extinctions, it is happening too damn fast at geological/evolution times. If species doesn't adapt fast enough, they get extinct. Yes, at the other side of that process, some millions of years after, they could be a new age for life. But we won't be there.