If the existing network has multiple subnets and you don't have the cooperation of the existing service provider then I don't think this is going to work, as you need a degree of routing changes.
If you only need to reach into this remote network, and the remote network does not need to initiate connections back in, you could consider plugging the remote network into a WAN port on the MX. Then all access to this remote networked will be NATed.