I have to disagree with you about that.
The Constitution is primarily a limit on the powers of the Federal Government. The Bill of Rights while some might consider them "Social Instructions" were actually limits on the power of the States.
Social agendas are basically a way to force certain behaviours. The framers of the Constitution felt that the FREE MAN could guide his own life.
The Constitution is a charter, the statement of purpose and intent for this new nation. Taken as a whole, it sends a clear message about the relative strengths and weaknesses of The People and the various houses of government.
It is in effect a manifesto, the death warrant for the Divine Right of Kings, and a declaration that Judeo-Christian principles of equity and fair play had supplanted them. Combined with the Declaration of Independence, these two documents, second only to the Bible, ordained Novus Ordo Seclorum, a "New Order of Nature."
It doesn't get much more social than that.