46 Chev has it wired correctly. The resistance is probably wrong. I have never done this so I don't know just how much resistance you need.
Paralleling the LED with a resistor would indeed cut the current thru the LED, but who knows how much. It would be very sensitive to the resistance value, and I agree the resistance used (unknown) is likely wrong. The idea is to make the resistance in the circuit the same as an incandescent bulb would be, and that's much easier with the resistor in series with the LED.
HERE is the real solution. No screwing around with parallel or series resistors (you'd need one resistor for each bulb, including wiring).