We report demixed nematic lyotropic liquid crystalline phase formation in dispersions of silver nanowires and spherical nanoparticle aggregates in ethylene glycol and water. This phase is observed in samples in spite of the high density, large aspect ratio, and long relaxation times of the nanowires which have an average length of 6.8 mu m. Remarkably, in the biphasic region, the nanowire-rich liquid crystalline phase exhibits a strand like morphology which has only previously been reported for single-walled carbon nanotube liquid crystals. Shearing predominantly liquid crystalline dispersions results in both significant nanowire alignment and nanowire aggregate demixing. The results of this research suggest that the nanoparticle contaminants common to many synthesis schemes facilitate liquid crystalline phase formation and that these dispersions can be processed into aligned coatings.