LTSpice Has bizzare results for high input impedance devices
As mentioned in comments, opamps don't like their inputs to be as widely different potentials.  That said, I believe LT Spice might be telling the truth.  Take a look at the LT1002 schematic.  Notice the series R and protection diodes between the two inputs.  If the two inputs differ by more than 2 diode drops or about 1.2V, the current will be limited by the two 500 series resistors.  

The current into the higher potential input and out of the lower potential input will then be equal to the difference between the two Vin sources, minus 1.2V, all divided by 1k ohms (sorry, no math fonts on my phone).