Conscious Realism is a non-physicalist monism.
Idealism is "idealism is the group of philosophies which assert that reality, or reality as we can know it, is fundamentally mental, mentally constructed, or otherwise immaterial."
So is CR an Idealist position?
Are you referring to Donald Hoffman's 'conscious realism'? That is, are there other forms of 'CR' than Hoffman's? My impression from what @Soupie has written here is that he takes the idea of 'conscious realism' from Hoffman. In Hoffman's case, it does seem that CR is a form of idealism, but a mechanized form apparently dependent on Hoffman's belief that the 'world' (and human ideas about the 'world') are the output of a matrix-like computational entity or force {?} which produces only illusions of 'reality' in human consciousnesses that are no more real than the things humans think they encounter. This characterization is only what I've been able to surmise so far from what @Soupie has said here about CR and might not represent what he has intended to c0mmunicate.