Hot take, easily debunked:

https://www.ipcc.ch/2022/02/28/pr-wgii-ar6/

Climate change: a threat to human wellbeing and health of the planet. Taking action now can secure our future

BERLIN, Feb 28 – Human-induced climate change is causing dangerous and widespread disruption in nature and affecting the lives of billions of people around the world, despite efforts to reduce the risks. People and ecosystems least able to cope are being hardest hit, said scientists in the latest Intergovernmental Panel on Climate Change (IPCC) report, released today.

“This report is a dire warning about the consequences of inaction,” said Hoesung Lee, Chair of the IPCC. “It shows that climate change is a grave and mounting threat to our wellbeing and a healthy planet. Our actions today will shape how people adapt and nature responds to increasing climate risks.”

The problems with "move according to changes in local climate" are, to name a few:

• It causes conflicts with the previous inhabitants. Someone will have to lose.
• If you keep moving north, and hit the sea, what then?
• Many animals are tied to specific locations, like Salmon and migrating birds
• The unprecedented speed of change overwhelms natural adaptation, driving species instead extinct