I don't think bloodless is going to be in the cards, but it does seem like just sneaking in and killing the prime minister will be our best course. We risk making him out to be a martyr and not a madman.

[And that would be the opposite of what they want- hence this plan. Destroying him will take evidence.]

But as for Inuyasha-san and the rest... Well, unless there's something to dampen their abilities, I don't think they'll allow themselves to be killed. It might make things messier for us, but I'm sure Rost and Imogen-san will understand if we had to make spectacles of ourselves.