Einar,
As you request, a bit more information behind my suggestions above:
Regarding my suggestion to add solvent in order to improve the resolution of phenylalanine and glutamine, this comes from the general fact that polymeric stationary phases nearly always contain either an aromatic backbone or an ester linkage and that both of these characteristics will result in increased retention for aromatic analytes such as phenylalanine relative to aliphatic analytes such as glutamine. In my experience, addition of solvent to the mobile phase will help minimize the interactions between phenylalanine and the polymer backbone, thus improving resolution since glutamine wouldn't be expected to interact with the polymer backbone in a similar manner. Since Steve did not give us any insight into the specific stationary phase involved, it's simply my guess based on my general knowledge of commercially available polymeric anion exchange materials.
Regarding my suggestion that adjusting the pH should help with the resolution, this is based on the general principle that you can generally achieve resolution of a pair of analytes by adjusting the ionization of one of the pair such that the ionization of one analyte is substantially greater than the ionization of the other analyte (when the retention mechanism is ion exchange). As I drafted this more detailed answer I realized that I described the effect opposite what would be expected, however, so it's just as well that you suggested providing more details. In fact, the pH at which glutamine is 50% anionic is pH 9 whereas the pH at which phenylalanine is 50% anionic is pH 9.3 so dropping the pH to 9 (assuming Steve was working at a higher pH) would have the effect of reducing the retention of phenylalanine more than glutamine (since at pH 9 phenylalanine would be less anionic than glutamine). Of course, the disadvantage of this approach is that it will reduce the retention of both analytes and conceivably result in inadequate retention for complete resolution of the pair. Alternatively, of course, Steve could increase the pH to a value high enough assure that both analytes are 100% anionic. Under these conditions, I would be surprised if the pair coelute since aromatic analytes generally always have longer retention time than aliphatic analytes on polymeric anion exchange materials.