You extracts fail to consider what the initial post in this thread pointed out. You are ignoring the that the Founders made major distinctions between certain powers of the federal and state governments. You have fallen into the trap of thinking that the popular term "the government" is synonymous with both federal and state governments and that "separation of church and state" means separation for the state governments as well as the federal government. But the ignorance of this idea is exposed when you consider Jefferson's note that the Founders had written the 1st and 10th Amendments in part to delegate government power to address religious issues uniquely to the state governments.
"3. Resolved that it is true as a general principle and is also expressly declared by one of the amendments to the constitution that ‘the powers not delegated to the US. by the constitution, nor prohibited by it to the states, are reserved to the states respectively or to the people’: and that no power over the freedom of religion, freedom of speech, or freedom of the press being delegated to the US. by the constitution, nor prohibited by it to the states, all lawful powers respecting the same did of right remain, & were reserved, to the states or the people..." --Thomas Jefferson, Kentucky Resolutions, 1798. http://tinyurl.com/oozoo
1st Amendment: Congress shall make no law respecting an establishment of religion, or prohibiting the free exercise thereof; or abridging the freedom of speech, or of the press; or the right of the people peaceably to assemble, and to petition the Government for a redress of grievances.
10th Amendment: The powers not delegated to the United States by the Constitution, nor prohibited by it to the States, are reserved to the States respectively, or to the people.
So based on Jefferson's note about the 1st and 10th Amendments, the states have the constitutional power (10th) to authorize public schools to lead non-mandatory (14th) classroom discussions on the pros and cons of evolution, creationism and irreducible complexity, for example, regardless that atheists, separatists, secular judges and the liberal media are misleading the people to think that doing such things in public schools is unconstitutional.
The U.S. Constitution addresses itself to the running of the Federal government, and its interaction with the many State governments. So when I speak of "government" as it relates to the U.S. Constitution as drafted by James Madison et al, I am directing myself at the Federal government.
Unless you can find somewhere where I discuss a State government, you are guilty of assuming.
However, generally speaking, the fact that by 1833 (within the lifetime of the Founders) all instances of State religions had disappeared from the nation speaks volumes of their thoughts on the issue.