We employ both adaptive spatial and temporal degrees of freedom to separate multiple signals impinging upon an RF convergence antenna-array receiver. Motivated by the maximum-likelihood methodology, we construct a multiple-access receiver algorithm for mixed communications and radar signal types. We denote this algorithm as a multiple-channel multiple-user receiver (MCMUR). The signals include communications signals, traditional radar-return waveforms, and interference waveforms. The resulting receiver employs iterative alternating projections to maximize performance. In addition to improving the ability to separate signals, the spatial degrees of freedom improve the convergence rate. We discuss the theory of multiaccess receivers in this context in terms of capacity and detection performance. We provide a derivation of the receiver and discuss extensions that are effective in dispersive environments. We simulate a simple RF convergence scenario as an example.