Yours is a very reasonable question. First of all, merging consciousness is admittedly a bit woo-woo; however, I feel it's worth considering.
According to the literature, when the corpus callosum is severed, it appears that the verbal part of the patient loses conscious access to parts of their body. However, those lost parts continue functioning independently, and are able to communicate non-verbally.
Put another way, it seems plausible that a conscious system is split into two conscious systems. This could imply the corpus callosum is involved in unifying conscious systems.
According to the literature, when the corpus callosum is severed, it appears that the verbal part of the patient loses conscious access to parts of their body. However, those lost parts continue functioning independently, and are able to communicate non-verbally.
Put another way, it seems plausible that a conscious system is split into two conscious systems. This could imply the corpus callosum is involved in unifying conscious systems.