Lincoln Municipal Code says a bicycle rider needs to dismount and walk the bike on a crosswalk, which is the law everywhere I've lived. It says nothing about shifting accident liability to the bike rider which violates the Code, though if you hit a pedestrian in that crosswalk I suspect violating this section would create a presumption of negligence. Nebraska is a modified comparative negligence state, meaning your negligence in operating your bicycles reduces your recovery until you are 50% or more at fault, then you get nothing. The issue is whether your riding in the crosswalk contributed to the accident.
Do some reading.