What are you defining as a "short"? A true short circuit to ground would read zero ohms after subtracting the meter lead resistance.
I can't remember where I recently posted this, but the two coils as wired together with the red wire, would normally read about 1.8 ohms if the ignition box side of both coils were grounded. Try unplugging the negative side of both coils (the side connected to the ignition unit) and see if the 1.8 ohms becomes infinity. If so, that would indicate the ignition unit is grounding the coils full time.
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