Those devices seem to be based on the (aptly named) 'star test' method of optical alignment- you are simply aligning the optics to obtain the best possible Point Spread Function (PSF). It's perhaps the easiest method (certainly the oldest), but is also semiquantative and requires experience to rapidly converge to optimal alignment. I use the star test regularly, whenever I need to align a microscope objective- this is trivial with the star test, but that's because the source doesn't have to be located far from the lens. With a telescope, you have to place the 'star' far enough away so that it is unresolved and within the focus range of the telescope- AFAIK, star tests are generally not used for aligning telescope mirrors.
Since you are not testing individual mirrors, but aligning one with respect to another, do you have access to the prime focus? Another good alignment technique is 'autoreflection' or 'retroreflection'. Here, you place a mirror or ball bearing (the ball bearing center is located at the focal plane) at the focus and monitor the light reflected back through the optical system, performing alignment to make the incident and reflected light coincide. This requires more equipment (an interferometer, for example), but is also fairly easy to perform.
Here's a random idea, not sure if it will work: remove the eyepiece, use a laser pointer to send light 'backwards' through the telescope, and aim the telescope at a retroreflecting cube/corner reflector. Then align the mirrors until the reflected beam overlies the incident. If you carefully orient the telescope you may be able to use a simple flat mirror instead of a retroreflector.