Hello Sambear,
As the core of the PC Board ties act as an insulator, it is not likely that the fixture is the problem. If the solder is balling up on you there are usually two reasons. The iron is not hot enough, or the surface of the ties are not clean enough.
If you haven't already, check out the soldering video that came with the CD, or that is on our website at
http://www.handlaidtrack.com/an01-online.php Tim demonstrates a number of techniques that should help you out. If you jump ahead to about the 12-1/2 minute mark it covers the exact problem you are describing with some suggestions on how to solve it.