I've been using the Tamiya compounds since they came out, at least here in the U.S., and like them very much because of how docile they are even on "soft" paint like enamels.
It's very important that you don't use a coarser compound than you need. Letting the paint dry longer is also good advice. If you are using enamels or acrylics, you should optimally let the paint dry for weeks (plural). If you are using lacquer, you can polish much sooner, days to a week usually.
I rarely use the coarse compound, just medium on certain spots if needed and the same for the fine, only where needed, if needed at all. Usually I just go straight to the wax after the paint has cured. I suspect you are polishing where you don't need to... - Mark