Any other interpretation has no Biblical basis. This is thoroughly explained in Cyrus I. Scofield's treatise "Rightly Dividing The Word Of Truth," Chapter I, The Jew, The Gentile, and The Church of Godm pp. 6,7 clearly shows that the promises made to Israel (ish = man, ra = saw, El = God), the people bearing the Name of God, are made on earth and in the land area given to Abraham, of which the above is a promise of blessing. But at Jesus' resurrection, their religion/covenant was done away with, and the God of The Bible never hears them apart from their cofession of Jesus Messiah as their Master.
In contrast, the Christian, a member of the Kingdom of God whose citizenship is in God's Heaven ("My Kingdom is not of this world"), and the promises God in Christ makes are spiritual blessings.
The Gentiles, of course, have no part in this promise whatsoever, and neither does America. What God has permitted to us is to congregationally elect our officers and receive the consequences of doing so, while God watches us to see if we can learn from our mistakes. God does not do for you what He has given you to do for yourself, Jew, Gewntile, or Christian.
So, in fact, your interpretation/application of this verse is at best inept, but really a miscarriage of legitimate literal/grammatical/historical/cultural hermeneutic. Your best effort is to preach that we follow the Lord's command to make disciples, familiarize them of what it takes to be saved, inaugurate a believer's membership in a local church by public profession and the ritual baptism to effect the authority of The Father, The Son, and The Holy Ghost over that believer, and to congregate the believers for public instruction in watchfully guarding and keeping the commands of Christ secure and without change. Such people are fit to serve in earthly government, exercising Christian principle in their deliberations.
Anyone who has been to theological seminary, but has not at least read through this little treatise by Schofield, ought to immediately get a copy of it and study it through. Hundreds of thousands of correctly theologized Americans have done so since its publication more than a hundred years ago.
http://poweredbychrist.homestead.com/files/cyrus/scofield.htm
I’ll trust what Ann Graham says, but Scofield, not so much.