To my subculture, Generation Joshua means two things. First, it is a Christian youth organization founded in 2003 by the Home School Legal Defense Association (HSLDA), created to train children to be activists for conservative candidates who support pro-life and otherwise socially conservative platforms. But more importantly, Generation Joshua is a metaphor. It is a rallying cry based on a jumbled amalgam of biblical stories with the purpose of inspiring conservative parents and their kids.
In the Old Testament, the Egyptians held the Israelites in captivity. The Hebrew God chose Moses to lead the Israelites out of captivity and into the Promised Land, a land flowing with milk and honey. But the Israelites and Moses disobeyed God on numerous occasions, so God made them wander in the wilderness for forty years, banning them from ever entering the Promised Land. But God had compassion on them, and chose a member of the next generation, Joshua, to lead the Israelites’ children into that land of milk and honey.
While this story is considered by academics and exegetes to be a straightforward historical narrative, conservative Christians have transformed it into a metaphor for the United States. In this metaphor, the Israelites are U.S. citizens. The U.S. was founded as a Christian nation, but the forces of secularism have held us in captivity as the U.S. progressed. So God — now the God of Republican, conservative Christians — chose homeschooling parents to lead the U.S. away from its godlessness and back to its Christian roots. But the parents were once part of that secularism, so God will not allow them to see the fruits of their labor. God has nonetheless shown compassion towards their efforts, so the parents’ children are the new Joshuas. These children are to be trained in God’s original plan for the U.S. to be a Christian nation, and they will grow up to invade all levels of the U.S. government and society and reclaim the U.S. for Republican, conservative Christianity.
I don’t know much about homeschooling, and certainly there must be a number of homeschooled kids who aren’t taught this way, but this sounds like a Wonder Bread Madrassa.