Save the Polar Bears

Just musing today:

The diminishing ice in summer around the Arctic has been in the news for a few years now. Polar bears, apparently, rely on floating ice to access their prey.

There is a lot more ice at the Antarctic. Some of it is floating. There should be loads of their usual stuff to eat, plus penguins.

Would it be worth transporting some Polar Bears to the Antarctic if it might ensure the species survived.

Would they survive?

I’m no zoologist. Could they breed fast enough to damage the ecological balance?

Has this ever been suggested before? Am I missing something?