The present paper deals with the seismic analysis of masonry domes in an equivalent static fashion (pushover). The dome is discretized by means of a heterogeneous FE mesh where blocks are assumed elastic and joints -reduced to interfaces- are modelled through a network of shear and normal trusses exhibiting either an elasto-plastic or an elasto-damaging behaviour. The possible orthotropy, typically induced by a running bond disposition of the blocks, can be considered either meshing the dome with a truly heterogeneous discretization or adopting a heuristic homogenization where different mechanical properties of the meridian and annular interfaces are assumed, and the rest is linear elastic. The aim is to bring both the methods in the non-linear static field, employing them for a fast seismic vulnerability assessment of the architectural heritage. The general objective is to develop a reliable tool for fast structural analyses, design, retrofitting or forensic engineering after earthquake events. A case study is considered to preliminary benchmark the procedure, namely the dome of Anime Sante in Italy, collapsed during L’Aquila 2009 seismic sequence.