Definitely cool.
I think my favorite part of all this is seeing a military response to something supernatural. Here it isn't some lone assassin or mage, who will often do something like spare an opponent for whatever reason, but a complete team of badasses who are professionals and know what they're doing. Granted people like Kiritsugu are mages and professionals, but somehow it's different compared to Blackwatch. Probably the military aspect.
I guess I can't imagine say Shirou or Shiki (either one), or perhaps any of their associates, reacting the same way as Cross or his team in how to fight something.