Hardshell Syllogisms

Elder C. B. Hassell, father of Sylvester Hassell, and joint author with his son of the "History of the Church of God," a book of high authority among the Hardshells, gave us the following syllogism to prove that the "Primitive Baptist" denomination is the only church that qualifies as being the "kingdom of Christ." (from page 804 of the history)

1. The kingdom of Christ cannot be divided.
2. But these (non-Hardshell - SG) denominations named were divided (over the Civil War - SG).
3. Therefore these denominations cannot be the kingdom of Christ.

1. The kingdom of Christ cannot be divided.
2. The Primitive Baptists were not divided in principle by the surges of the late civil war.
3. Therefore the Primitive Baptists constitute the visible kingdom of Christ.

What a fallacious argument!  Such an argument recalls the old adage quod nimis probat, nihil probat - "what proves too much, proves nothing."

Not all denominations divided over the Civil War and the issue of slavery.  Were the denominations that did not divide over the war also the "kingdom of Christ"?  Would not the syllogism of Hassell prove that the denominations that did not divide over the war to also be of the "kingdom of Christ"? 

Further, though the Hardshells did not divide over the Civil War and the slavery issue, they have divided numerous times over other issues.  Do those divisions not prove that they are not the "kingdom of Christ"?