I also work at Google, my opinions are my own as well.
I don't work in the US. I'm not a US citizen. I don't support the actions of the US military. Hell I _really_ don't want to be involved with the weapons development branch of the US military. That is one reason why me and a lot of Googlers are opposed to this.
Would you be happy for Google to work with the military of another country you have zero control over that has very questionable motives?