Reeling? What strange ideas you harbor.
Both the LTC opamp model, and LT Spice, are working fine in your simulation. The opamp output is railed low, there's no negative resistance, current is flowing OUT of V3, Conservation of Energy is not being violated, the whole mess looks about like a 1K regular resistor (plus the opamp Icc), and you were probably reading the current direction backwards.
Build one, use a 12 volt battery for V3, and see if it charges the battery.
John