Heavy elements including He, C, N, O, Ne, and Ar are present in the interstellar medium surrounding the heliosphere. They form the most important source for heavy pickup ions and anomalous cosmic rays in the heliosphere. Kinetic numerical models are used to study the entrance and the heliospheric distribution of neutrals and singly charged ions of these six heavy element species as they interact through charge exchange with the neutral and ionized hydrogen of the heliosphere. Since the interstellar hydrogen parameters are not known precisely, three different representative hydrogen heliospheric models are used to study the heavy element distribution, and the sensitivity of key results, including filtration ratios of heavy elements and increased heavy neutral densities (walls), to the different hydrogen backgrounds is established. The key neutral heavy element results are largely insensitive to the specifics of the hydrogen background. The location and extent of neutral element features depends sensitively on the hydrogen background, as do all the heavy ion results.