vesica,
I have come across your problem as well with the Dyne theme not showing widgets at all except the default, however I have experience fixing wordpress themes and php coding experience.
I’m not sure if the Dyne theme worked on previous versions of wordpress prior to 2.7 however I have corrected the issue and it will now function up to wordpress 2.8 and I added a custom favico.ico to the theme which matches its flavour.
I have also sent a message to Liza to let her know about the update I made for widgetization and functionality, but in the mean-time you can get the updated package here if you are still using it.
Dyne Theme – Updated 2.8