Branchburg police found the weapons after responding to a suspicious person call at a convenience store. Woodson fled when police confronted him, but was soon captured.
At the time, he was wearing a bulletproof vest and carrying a loaded semiautomatic rifle, county Prosecutor Wayne Forrest said.
The subsequent hotel room search found more weapons, a police scanner and hundreds of rounds of ammunition.
Woodson's lawyer, James Wronko, will seek a psychiatric evaluation for his client.