No problem!
I think since you have 2 channels of current going into the DRLs you will need a diode connected on both of wire taps to prevent any voltage from flowing back through the bridge. I am not sure exactly which diode you need (12 volts, ? amps) but they do have markings on which way voltage can flow through them.
You should connect the diodes before the actual wire tap.
I am not sure if this is the safest way to wire them up, a relay could provide better results.