Minimally an ASI (Artificial Super Intelligence) would:
1. Be able to solve all cognitively demanding tasks humans can solve and tasks humans cannot solve (i.e. develop new science), hence "super" intelligent.
2. Be an actively evolving agent (not a large, static compositional function like today's frontier models)
For me intelligence is a problem solving quality of a living thing, hence point 2. I think it might be the case to become super-intelligent, you need to be an agent interfacing with the world, but feel free to disagree here.
Though, if you accept the above formulation of ASI, then by definition (point 2) it would have goals.
Then based on point 1, I think it might not be as simple as "If the AI does something in the physical world which we do not like, we sever its connection."
I think a super-intelligence would be able to perform actions that prevent us from doing that, given that it is clever enough.