MW13, your traffic analogy is totally fallacious. There is no aveira in merely driving a car. If the road was clear and the driver ran a red light the driver alone is responsible. If the driver could nt stop (e.g. the pedestrian ran in front of him on a highway) the pedestrian is solely responsible.
As for going up on HHB, I personally prefer shev v’al taaseh because of the possible severe halachic prohibition. However, according to those poskim who allow and even encourage it, it is indeed proper as is going to the Kotel or the Maarat HaMachpela (and Bnei Beraq – remember they have made abundantly clear that they will not countenance any Jewish presence anywhere in EY