Yes. The MoCa adapter bridges the MoCa network from the coax to the Ethernet. Once you have that hooked up then the Mini will be able to connect to your network just by plugging coax into it and setting it to MoCa mode.
Edit: FYI if you have FIOS then you don't even need the MoCa adapter. The FIOS has MoCa built in so you should be able to just setup your MiNi to use MoCa and be done with it.
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