It might be hard to design an amplicon sequencing study since you need different primers for the different groups, and the primers will have different amplification efficiencies. If you would do a full shot gun sequencing study (sequencing all DNA) you can later on extract the 16S and 18S reads using the Metaxa software:
Bengtsson et al. 2011, Antonie van Leeuwenhoek 100:471–475. Metaxa: a software tool for automated detection and discrimination among ribosomal small subunit (12S/16S/18S) sequences of archaea, bacteria, eukaryotes, mitochondria, and chloroplasts in metagenomes and environmental sequencing datasets.
Such an approach would have less biases compared to amplicon studies.