I have nothing against instructors using the name of a military unit to sell either their own hand-to-hand combat system or one that is used effectively by that unit. Not at all. For the most part, I see this as a marketing thing and each instructor/author has to make decisions on that front.
If you want to connect a USB device to an HDMI device then you must use a converter box. This is a set of electronics that change the protocols and signals. The only adaptor which works is the DVI-HDMI ones.
There is no way to directly connect a Kindle Fire HD to an analog TV, so this converter box is essential. The converter box should have an HDMI2 input port and a set of RCA (yellow, white, red) output ports. The HDMI cable should have a standard HDMI connector on one end and a micro-HDMI connector on the other end.