The Pursuit of Happiness was understood by our Founders as freedom to live a virtuous life so that in the end a person, after having live well spiritually, would be able to spend Eternity with God."
I believe you to have both somewhat wrong.
Liberty meant much more than economics and family. Specifically, it meant freedom from oppression and excessive central government rule.
The Pursuit of Happiness meant the same as Liberty no matter a person's spirituality. I've always thought that phrase to be a bad replacement for the original, "Property" during the Constitutional debates. Pursuit of Happiness is a given if you have true Liberty.
Yes, the FF's were spiritual men. Beside their references to God, much of what they based the Constitution on was from looking at history and the inherent traits of mankind. That's why they created a "Constitutional Republic" and not a democracy (mob rule).
As a founding member of Veterans for Constitutional Restoration (VetsCor), I've probably forgotten more about the Founding Fathers' debates, journals, letters, publications, and personal histories than you currently know. Let's just agree to disagree if you like - don't want to start a citation exchange. I know what they stood for and it was more than you state.
Life, Liberty and the Pursuit of Happiness was more than a popular catchy phrase. Each of those words have an extremely deep meaning that most people just pass over as they are reading the words.
For example, when people today read "Pursuit of Happiness" they tend to think it means whatever makes a person feel good. Our Founders would be horrified to think that anyone would take those words as a ticket for licentious behavior.
All of it relates to Liberty in the macro, but also each part has specific meanings in the micro which relate to the need for virtuous conduct of the people across the board.
All of them are describing liberty at its very core. To mess around with one of those words injures the rest of them.
The Bill of Rights were intended as measures to protect Life, Liberty and the Pursuit of Happiness.
I am currently writing a book on the topic and have been doing research for the last eight years.