RE: “Apparently, the Moetzes Gedolei Hatorah rule that Benei Torah should go to the induction center but not to sign up for the army.” It refers to orders to come down and do pre-induction paperwork.
In the United States, this might be called “punting” (an American football term). It puts off the problem, and (excuse the mixed metaphor), put the ball in the other’s guy court.
The rabbanim referred to in the original posting are telling their talmidim to politely go to the army, tell them who you are, and politely refuse to do anything else. This for the time being is non-confrontational. It doesn’t settle anything, but postpones the confrontation. The big issue will be this summer when the army will be sending them orders to report for military service. At that point, refusal to comply will be considered criminal and they will be subject to arrest and imprisonment. However some arrangement might be worked out before hand (e.g the zionists will settle for cutting off funding for hareidim, but will respect their autonomy and exempt them from conscription).
Other, less moderate rabbanim, are urging total resistance. Of course the zionist rabbanim (who regard service in the army as a mitzva rather than bitual Torah, that is to say those who see the army as defending the Jews of Eretz Yisrael as opposed to those who see Limud ha-Torah as the key to Jewish survival) have been urging their talmidim to join the army for some time.