Incandescent light bulb filaments change their resistance based on temperature. So the resistance you measure cold with your volt-ohm meter is not the same resistance the electrical system on your car sees when the bulb is illuminated.
See http://www.ply33.com/Backmatter/lightbulbs for some bulb ratings
The brake/turn signal filament of a 1154 bulb is rated at 2.63 amps at 6.4 volts. So when on, it presents a load of 2.4 ohms. The front turn signal filament will have a similar output and similar resistance. They are in parallel, so the electrical load presented to the flasher unit by both lamps will be about 1.2 ohms. I believe that 1.2 ohms is one of the standard values available in electronic supplies.
If you put a 1.2 ohm resistor across a car electrical system that might get up to 8 volts, you'll need it to be able to dissipate about 50 watts. Thats a big resistor that might have heat sink fins on it.
In the old days, at least for 12v systems, you could get "heavy duty" flasher units. Basically those decoupled the external resistance relationship to the flashing speed by having a separate contact for power to the lights that was mechanically connected to a bi-metallic arm with its own contact and internal resistance that controlled the on/off rate. If there was a 6v version of this available, then it should work with LED lamps without needing external load resistors or an electronic flasher.