I can't answer for EOD K9, but they didn't take my Trauma shears since they are allowed by TSA on flights.
The Security Guard said if they pass TSA scrutiny they are OK by Disney.
No, my shears are in there as well. Along with gauze, cohesive bandages etc. I also keep electrical tape, twine, moleskin, and a light jacket (weather dependent) and water for the fam. You'd be surprised what I have had to McGyver over the years.