There is no enumerated Power to do anything remotely involving education. The key word is ENUMERATED. There is no granted Power called common defense. The terms "general welfare" and "common defense" are used to describe the reasons for the enumerated Powers that ARE granted to the federal government. For example :
To borrow Money on the credit of the United States;
this will provide for the general welfare of the people of the U.S.
To regulate Commerce with foreign Nations, and among the several States, and with the Indian Tribes;
Again, general welfare of the people.
To establish an uniform Rule of Naturalization, and uniform Laws on the subject of Bankruptcies throughout the United States;
To coin Money, regulate the Value thereof, and of foreign Coin, and fix the Standard of Weights and Measures;
To provide for the Punishment of counterfeiting the Securities and current Coin of the United States;
To establish Post Offices and post Roads;
To promote the Progress of Science and useful Arts, by securing for limited Times to Authors and Inventors the exclusive Right to their respective Writings and Discoveries;
That's right, all general welfare.
Now these ENUMERATED powers ...
To define and punish Piracies and Felonies committed on the high Seas, and Offences against the Law of Nations;
To declare War, grant Letters of Marque and Reprisal, and make Rules concerning Captures on Land and Water;
To raise and support Armies, but no Appropriation of Money to that Use shall be for a longer Term than two Years;
To provide and maintain a Navy;
... are all ENUMERATED Powers that provide for the common defense.
Why do you think these specific Powers are ENUMERATED if anything that can be argued to be for the general welfare or the common defense could be considered a constitutional Power delegated to the central government?
And when you see this ...
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.
... what powers can you think of that aren't delegated to Feds when you view "general welfare" and "common defense" as liberally as you, and all leftists, do?