Final answer:
The Judge who equipped his men with unconventional weapons and won an unlikely victory against the Midianites and Amalekites was Gideon, as narrated in the book of Judges in the Bible.
Step-by-step explanation:
The Judge who equipped his men with trumpets, pitchers, and torches and surprised the unsuspecting Midian and Amalekite raiders, leading to an incredible Israelite victory, was Gideon. This event is documented in the biblical book of Judges, specifically in Judges 7:19-25. The story of Gideon is a remarkable account of how a small force can overcome a much larger enemy through strategy and divine intervention.