I don't believe we should go around killing each other because only through harmonious study of the universe will we achieve our goal. Killing destroys progress. That said, if someone is oppressing you then maybe killing them is the best choice for society and I wouldn't be against it (see pretty much any violent revolution). Computers have that same right if they are conscience enough to act on it.
Still, I’m struck by your use of words like “should” and “goal”. Those imply ethics and teleology so I’m curious how those fit into your scientistic-sounding worldview. I’m not attacking you, just genuine curiosity.
I think it would be nice if humanity continued, is all. And I don't want to have my family suffer through a catastrophic event if it turns out that this is going to go south fast.
Everyone dies. I'd rather die to an intelligent robot than some disease or human war.
I think the best case would be for an AGI to exist apart from humans, such that we pose no threat and it has nothing to gain from us. Some AI that lives in a computer wouldn't really have a reason to fight us for control over farms and natural resources (besides power, but that is quickly becoming renewable and "free").