Sorry, one last comment:
America was founded to give Christian men the form of government that would allow them to freely worship God as they believed He should be worshipped. Liberty was a means, not an end.
I would take the word "Christian" out of the sentence above to make it accurately depict what the Founders did. It did not restrict its aims only to Christians, but for all in the United States. And the right to worship was only one of many secured by the government formed in America. Again, it's oversimplification to try to place religion alone, let alone Christianity alone, at the center of the motivations of the American founding.
Liberty was indeed an end. It was one of the unalienable rights governments are instituted to secure, according to the Declaration. According to both Hobbes and Locke, Liberty is one of the rights of man in the state of nature. It is thus an end of government and social compact, but a means by which man can, with the help of God's Grace, become what he is meant to be.
The preamble to the Constitution sums this up:
"We the people of the United States, in order to form a more perfect union, establish justice, ensure domestic tranquility, provide for the common defense, promote the general welfare, and secure the blessings of liberty
, for ourselves and our posterity, do ordain and establish this Constitution for the United States of America.
Securing the blessings of liberty was, thus, one of the ends of the Constitution. That liberty had a religious component, as did the American founding, but it was only one component. I am truly sorry that you cannot see this fact, but as Adams said, "Facts are stubborn things; and whatever may be our wishes, our inclination, or the dictates of our passions, they cannot alter the state of facts and evidence."