God was not responsible for the Republic of the USA, men were. Many (not all) of those men believe in a God. Men believing in a God does not make God responsible for the actions of those men.
If you are to make God responsible for the USA you also have to make God responsible for Salem Witch Trails, the Slaves mentioned in the Constitution, the massacre of tens of thousands of Indians, the death of hundreds of thousands of men during the civil war, the IRS, 40 million abortions, etc.
And according to you, while we're at it, the exact words of what both you've written AND I've written here have been scripted and programed to utter whatever as robotic pawns of Providence?
Did we have FREE choice in the matter of what we uttered? What was in our hearts? The hearts of Washington, Adams, and Washington?
The leaders of this country since it's inception were not sinless saints, but mere mortals, albeit, the best this world has ever see, bar the Utopian ideal (which you seem to feel ought to have been expected).
The questions posed to you remains: Name a more "inclusive" country on earth; Name another county on earth which enforces liberty anything close to a US Constitution.