Australian here. What you say is true, but avoid long grass (snakes) when out walking and check under the toilet seat (spiders) before sitting and you'll be fine. More importantly, make sure you look up constantly when around gum trees to avoid sudden and violent drop-bear attacks. The exact number of deaths and injuries caused by drop-bears is keep secret by the Australian government to avoid putting off tourists, but could well be more than zero.

Apart from one or two snakes, the cassowary, and the crocodile, dangerous Australian wildlife is pretty shy and sleepy. Make noise when you walk through scrub and the snakes, if any, will avoid you. The only particularly deadly spider lives only around Sydney, you have to go hunting for it, and there's antivenin for it. I've also never heard about snakes getting into people's cars. Sure, it probably happens, but it's rare if it does.

Yes, the toxicity on paper of Australia's animals is sky-high, but that's not the full story. You're far more at risk of heatstroke than animal problems when travelling Australia.