His competitor talked a great deal about the peace and quiet of Mr. Fillmore's administration, and charges Black Republicans and Democrats with causing all the excitement and danger of the existing troubles, and he stands upon a platform, said Governor Bragg, which denounces the administration for having recklessly and unwisely repealed the Missouri Compromise--a pretty platform for a Southern man to stand upon, especially when adopted in place of that of the year before. He read from the speech of Mr. Badger to show that all the Whig Senators from the South supported the Kansas-Nebraska Bill, except one, and that the measure was passed by Northern and Southern Democrats and Southern Whigs, and that Mr. Badger said it was right and proper that it should pass. Governor Bragg then gave the history of the Missouri Compromise line--showed how unjust it was to the South originally, that the South had, however, shown every disposition to abide by it, and had time and again sought to have it extended over the new territory to the Pacific, while the North repudiated that line. The South was, therefore, not properly chargeable with any breach of faith, and was right to get rid of the odious act. Now, he said, there were questions of vital importance growing out of that matter, and he wished to know where our Know-Nothing opponents stood with regard to them. But no one could tell. What was Mr. Fillmore's opinion upon any one of these questions? Nobody knew. He had said nothing while at home, and at the last accounts, strange as it might seem to Know-Nothing ears, he was in the city of Rome partaking of the hospitalities of the Pope. When the matter is pressed, we are told that the party eschews all sectional questions, state and national, in order that the "Paramount Principles of Americanism" may have full play, thus raising the question only, who shall hold the offices of the country, and not, in what manner our government shall be administered. Can it be possible, said Governor Bragg, that the people will be thus humbugged and trifled with when the country is in danger? Governor Bragg said he would then examine the claims of this new party. He went into a full examination of its principles; stated what had been its history North and South; what had been its fruits in different sections; how it sent nothing but abolitionists and freesoilers to Congress, and challenged his competitor to point to one solitary Northern national man of his party in either house of Congress; gave the history of the election of Speaker of the House of Representatives, and how not one of them voted for Aiken when the contest was between him and Banks, although five of them had voted for him the day before, including their candidate Fuller.