A central difference between Behe and those who view consciousness as fundamental to quantum theory is that in the case of Behe we have a well-established theory nearly universally accepted by those in relevant fields on the one hand and Behe with his own ideas and interpretations on the other. In the case of quantum theory, the relevance of human minds as “observers” is built into the basic mathematical structures of the theory, which takes as its fundamental components not the mathematical representation of the dynamical system but “observables” and their algebras. In the Heisenberg picture, the state itself is subsumed by the observables, while in the Schrödinger picture the actual attributes of any given physical system are again given by the observables associated with it. The orthodox interpretation of quantum theory is based primarily on the ideas of Bohr and Heisenberg, both of whom considered the (conscious) observer as again a fundamental, inescapable part of the nature of physical theories in general and quantum theory in particular.
In perhaps the most common formulation, pure states are described in terms of equivalence classes of elements in some complex finite or infinite dimensional space, but even for simple one-level, non-interacting systems any attribute or measureable property of interest is given either by the state preparation (and therefore encoded in the mathematical representation of the state) or by the statistical properties of the operator from the relevant observable algebra acting on the state and projecting it onto a subspace yielding the measurement outcome. But what constitutes a measurement and for whom does the observable yield a specific outcome? Wigner’s insight was to realize that there is no formal distinction (and neither perhaps a conceptual one) between the standard view of the quantum state in a particular experimental arrangement as a “black box” and that entire arrangement plus the experimenter from the perspective of an outsider. This is entirely consistent with the standard formulation emphasized initially by e.g., Bohr and Heisenberg in which we only ask of the theory that it consistently yield valid predictions rather than be understood as a description of any underlying physical processes (Bohr famously denied even the existence of a quantum world in favor of abstract mathematics).
Naturally, many physicists in later years and generations have grown increasingly uncomfortable with the received interpretation.
But once again, rather than (as with Behe) a situation in which a few physicists stand against some consensus, we have instead no consensus at all but a diverse number of interpretations and a number of working FAPP schemes. For some, quantum theory only makes sense in terms of an observer. For some, it is clearly a subjective tool for conscious agents in the form of a non-classical probability framework. For others, like Stapp (whose views are built on Heisenberg’s) it is the natural progression of physics in that it finally includes us as conscious observers and the role we play. For others, it is best understood in a simpler form in which all probabilies are yielded in some possible world/universe or in some “mind” (the many-world and many-mind interpretations, respectively). For others, we should take information as fundamental an interpret quantum theory in this light (but information for whom?). The list goes on and on.
But there are many interpretations and formulations (many of which are inaccessible to the layperson, unlike your typical popular nonsense on quantum minds or similar balderdash) going back to the origins of the theory in which conscious observers are a central component to the theory.