Yeah, they're super-accurate. Like the part where Israel abandons its advanced technological economy, and reverts to agriculture, "miraculously" growing crops (based on carbon) from sand (based on silicon). And that somehow makes them far more ridiculously wealthy. Because, you know, agricultural havens like the Ukraine are just raking it in.
Oh yeah, and the Arabs let them annex most of Syria, Jordan, Lebanon, and part of Iraq with no complaints. That's realistic.
The Left Behind series appears plausible to those who either are uneducated, or have a narrow range of education for a particular vocation. I just cannot imagine how anyone with any breadth of knowledge about the world could take those books seriously as Bible teaching. They're Christian pulp fiction.