Don't cut the cord in half. You will just get an error messages. If you plan on lengthening the cord, you can cut the sensor cord in half and in splice a similiar wire.
The current setup you have, I feel you will not get the best results for cold smoking. If you can't locate your bypast plug, you should order one, or do a search for a wire connector that has the length you need, and has the plugs that will fit the Bradley. Or as I mentioned above, you can splice the cord to any length you need.