that effort for support?

1) Does "that effort for support" mean "that effort seeking for support"?
2) Does "maintaining insurgence" mean "putting down insurgence"?

Context:

The Government of the United States has a clear consciousness that its policy neither is nor could be reactionary, but at the same time it adheres to the course which it adopted at the beginning, of abstaining everywhere from propagandism and unlawful intervention. It strives to do equal and exact justice to all states and to all men and it relies upon the beneficial results of that effort for support at home and for respect and good will throughout the world.

Nations do not exist for themselves alone, but to promote the welfare and happiness of mankind by benevolent intercourse and example. It is in this relation that the United States regard their cause in the present conflict with slavery, maintaining insurgence as the cause of human nature, and they derive new encouragements to persevere from the testimony of the workingmen of Europe that the national attitude is favored with their enlightened approval and earnest sympathies.

I have the honor to be, sir, your obedient servant,

Charles Francis Adams


More:
http://www.marxists.org/archive/marx/iwma/documents/1864/lincoln-letter.htm