No military activity is allowed on the Antarctic continent, according to the Antarctic Treaty.

It's worse that a 'bad idea': it's a violation of the Antarctic Treaty agreements that there be no military activity south of 60 degrees S..

No. All bases in the Antarctic are research stations. There is no military activity allowed, except in support of science.

There are no advantages of developing Antarctica: the Antarctic Treaty forbids development, commerce and military activity.

This is a matter of personal opinion, and there has not been enough expression of such an opinion to alter the Antarctic Treaty, which forbids military activity south of 60 degrees S.