I don't see the incompatibility. From the deist perspective there's nothing about the absence of intervention that precludes an indirect connection to God through what he has created, us being a part of that. In other words, human intuition, communion with nature, meditation and contemplation are all methods by which one can come as close to God as mere humans are able to. Further, the fact that God created a universe in which intelligent life can exist clearly implies that intelligent life was an intended consequence of creation, which further implies that the human capacity for recognizing such things is also not an accident. In the end many deists come to believe that God does indeed have a plan for us, that part of that plan necessarily involves not interfering with our development, and that embracing our God given inclination to connect with creation (and as much of the nature of that which transcends it as we are able to divine) is probably important since such inclinations are no accident.
How can one claim both to have an "ongoing personalized connection with the divine" and yet also hold that "God does not consciously intervene in human affairs"?
And the deists would no doubt tell you that the failure of religion to be collectively consistent is much stronger evidence of fiction than is simply embracing the reality of a transcendent mystery.
But the deists are not actually "embracing the reality of a transcendent mystery" - given that they actively and apriori exclude the possibility of God actually communicating with people. The deists allow for many things - except for the possibility of God being personally involved in people's lives. That doesn't seem like an open-minded stance to me.
Why don't they consider the possibility that God does get personally involved in people's lives, and also communicates with them?