That bridge is in quite good condition. It's not the DOT's responsibility to hold your hand and get you safely across the bridge.
Any experienced driver knows bridge surfaces are ALWAYS icier than the approach and departure surfaces. Something to do with the actions of the temperature differentials of that suspended surface with airflow under it versus solid ground. Venturi effect? I really don't know why...only that it is. I've gone sideways on bridges a few times over the years and now I back off the accelerator when crossing a bridge, never change lanes on a bridge and keep enough distance so I never had to touch the brakes on a bridge. Anything to keep from braking traction.  Even in the summer, and especially in shoulder seasons