They are not compatible but comparable. Religious people tend to believe in a certain creator and creation while considering other creation stories/myths to be either false or incomplete - i.e. they consider other religions to be incompatible with their own. Those who honestly believe we are living in a simulation - which probably won't be that many people in total as the 'simulation myth' is as of yet mostly a philosophical construct - can mostly be categorised together with deists in that they consider observations and rational reasoning to be sufficient to conclude the existence of a creator who designed and/or started the simulation [1]. This only goes for those who truly believe the hypothesis of the universe - or at least our part/view of it - being a simulation, not for those who just take up the subject to spin a yarn or impress others with their supposed erudition.
[1] this is a deep rabbit hole to go down into: did the creator actually design the simulation or did he only start it to while away some time on his gaming system? Is this a first-level simulation or is it a simulation inside another simulation, either as part of some sort of experiment or just as a mini game inside the game just started by some pimpled green-skinned lizard-boy on his Game-o-Saurus?
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These two belief systems are compatible. Both groups believe everything was created by some higher being, who might be watching us right now.
They are not compatible but comparable. Religious people tend to believe in a certain creator and creation while considering other creation stories/myths to be either false or incomplete - i.e. they consider other religions to be incompatible with their own. Those who honestly believe we are living in a simulation - which probably won't be that many people in total as the 'simulation myth' is as of yet mostly a philosophical construct - can mostly be categorised together with deists in that they consider observations and rational reasoning to be sufficient to conclude the existence of a creator who designed and/or started the simulation [1]. This only goes for those who truly believe the hypothesis of the universe - or at least our part/view of it - being a simulation, not for those who just take up the subject to spin a yarn or impress others with their supposed erudition.
[1] this is a deep rabbit hole to go down into: did the creator actually design the simulation or did he only start it to while away some time on his gaming system? Is this a first-level simulation or is it a simulation inside another simulation, either as part of some sort of experiment or just as a mini game inside the game just started by some pimpled green-skinned lizard-boy on his Game-o-Saurus?