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Models with range-free frustrated Ising spin- and Hubbard interaction aretreated exactly by means of the discrete time slicing method. Critical andtricritical points, correlations, and the fermion propagator, are derived as afunction of temperature T, chemical potential \mu, Hubbard coupling U, and spinglass energy J. The phase diagram is obtained. Replica symmetry breaking(RSB)-effects are evaluated up to four-step order (4RSB). The use of exactrelations together with the 4RSB-solutions allow to model exact solutions byinterpolation. For T=0, our numerical results provide strong evidence that theexact density of states in the spin glass pseudogap regime obeys \rho(E)=const|E-E_F| for energies close to the Fermi level. Rapid convergence of \rho'(E_F)under increasing order of RSB is observed. The leading term resembles theEfros-Shklovskii Coulomb pseudogap of localized disordered fermionic systems in2D. Beyond half filling we obtain a quadratic dependence of the fermion fillingfactor on the chemical potential. We find a half filling transition between aphase for U>\mu, where the Fermi level lies inside the Hubbard gap, into aphase where \mu(>U) is located at the center of the upper spin glass pseudogap(SG-gap). For \mu>U the Hubbard gap combines with the lower one of two SG-gaps(phase I), while for \mu<U it joins the sole SG-gap of the half-filling regime(phase II). We predict scaling behaviour at the continuous half fillingtransition. Implications of the half-filling transition between the deeperinsulating phase II and phase I for delocalization due to hopping processes initinerant model extensions are discussed and metal-insulator transitionscenarios described.Comment: 29 pages, 26 Figures, 4 jpeg- and 3 gif-Fig-files include

Fermionic Sherrington-Kirkpatrick models with Hubbard interaction: Magnetism and electronic structure