I dunno if mere traffic counts as a reason to consider cycling unsafe.
Not only do cars have to give way to cyclists so long as they obey the road rules (IIRC), you can also just cross roads like a Pedestrian and use the footpath.
I guess if you live in alligator-infested gangland swamps where grizzly bears are hiding behind every rock then you might have a problem, but I'm used to crossing the busiest roads without even waiting for the right flashing lights. Traffic really isn't that bad.