Do not rely on any "undrained" measurements made in fibrous peat - they are completely meaningless in terms of its real behaviour.
The comment about looking at the decomposed layer immediately below the fibrous zone is very important - you will usually find that this is the weakest zone, as the fibrous layer can actually exhibit some "tensile" or extensional strength.
I recently consulted on several adjacent landfill problems where the owners had removed the peat prior to constructing high fills - much to their chagrin they later found that the toe of their fills were unstable and were affecting a large zone outside their properties. They would have done better to leave the fibrous layer intact, or better still, retain an experienced geotechnical engineering firm before commencing landfill operations.