As a general rule, it is never a good idea to add two different additives to an oil sump at the same time. Although I believe that moly has some great boundary and extreme pressure capabilities when added to a host oil, we tend to make our recommendations based on a no risk policy. You have added the liquid moly to your host oil, likely Castrol Edge, based on your question, this in itself is an alteration to the host oil chemistry. The liquid moly gets dispersed into the motor oil. There is a limit to what a motor oil will accept with regards to dispursement. It comes down to someone juggling balls. Many can juggle 3 balls, but very few can juggle 4 balls, before a ball falls out of the sequence. The same can be true with mixing additives. There really would be no advantage to having the liquid moly in the same sump as Auto-Rx. For one reason, Auto-Rx not only contains esters that do the cleaning aspect, but two other esters. One of the others, is in the ARX formulation to make oil film strength greater, so as not to allow any dry spots on critical parts. The other ester has a patent in its own right with respect to being an excellent provider for protection under extreme pressure. So, there is no need for moly in the sump when running ARX. All components of ARX are great additives for lubricity in their own rights.
For best results, run your auto-rx application in a mineral oil based oil formulation. Auto-Rx will supply any addition lubricity during the cleaning process.