Thucydides wrote:Defeating the CoGA's armies might not be as easy as suggested, both because they are now catching up technologically, and also due to the sheer numbers (if they are extremely ruthless, they will drive waves of pikemen against entrenched ICA forces to make them expend their ammunition before the rifle armed troops advance. Think of Soviet "Penal Battalions" or how the Iranians drove waves of Basji against the Iraqis during the Iran -Iraq war).
The final result might be similar to the end of the third day at Gettysburg. The Confederates were defeated and driven from the Union position, but Mead simply could not set off to chase down Robert E Lee. His forces had to be reorganized (Sickles' destruction of 3 Corps and the mad scramble to send troops to fill the huge gap in the line was a huge impediment to command and control), as well as fed and replenished. The fact they and been doing hard marching in extreme heat and endured three days of violent combat also rendered the Union Army relatively combat ineffective.
So the huge CoGA force might be retreating after a series of battles, and ICA scout sniper teams might be hurrying them along and hitting logistics nodes along the way, but the bulk of the ICA forces will be spent and need a period of rest and reorganization before moving against the CoGA "homelands".
As for trying to eliminate the Grand Inquisator, remember that dictators often retain a personal magnetism that keeps followers in play right until the end. Watch the movie "Downfall" (Der Untergang) to see the most famous example ("Hitler, the last ten days" is also a great movie). Most other dictators also have this effect on people as well. The counter is when the collapse finally comes, it is often sudden and brutal.
There is no textev to suggest that the church is actually "catching up" technologically. To be sure they have had and will be implementing some new ideas such as the Ferguson rifles and the grenade launchers, but in the main, the gap is widening with church falling further behind.
Don