Would it? I don't think so. Not if the weapon is an indiscriminate one and makes everyone worse off. Yes, some people (maybe military generals) might support it. But there would be near universal hatred for it, if people wake up one day and find their bank accounts not working or their eletricity not working.

This is why I think AI is so stupid. It's just too powerful for anyone to control, especially with the inertial mass of capitalistic society powering it through the incremental, short-term advantages it gives.