These people are absolutely insane. Good God.
You would have to move a huge amount of material from one orbit to another.
If that happened, the earth could move a little closer or further from the sun.
Then you would see REAL climate change.
Permanent ice age or roasting hot.
It is doubtful that would happen.
Even if the mining became that huge, since we would be living in the general area and using most of the materials there, not screwing up the orbits.
Plus very little of ore becomes actual material that is removed from the area, the rest is just tailings that remains on or around whatever body is mined.
So, screw the leftist fools, MINE!