Population Density of Australia: 2 people per square mile
Population Density of USA: 84 people per square mile, with much higher density in some areas.
Your statistics are a little like saying "There sure are a lot more murders in the big city than in my small town!!!" If you aren't making any attempt to look at comparable data like per capita incidents, it is a classic case of how to lie with statistics (an excellent book, btw).
That's true for the massive difference I was trying to show. Let's try to fix the stats, this shows somewhat smaller differences.
The US has 192 rural inhabitants per thousand, as opposed to 176 for Australia.[1] Australia seems significantly more urbanised if anything. According to your logic, we should expect to see more hate crimes. That's not what happens though.
Wikipedia's list of ethnic riots has 134 entries for the US(since 1857, as that's the first Australian entry(there's more US entries in the dedicated article)), and 8 for Australia. That's 0.41 per million in the US, against 0.33 per million in Australia. The modern population should be fine as an approximation.
I'm going to insert mass shootings, because it's always fun to point this out. Wikipedia has 181 shootings worthy of articles[3], or 0.56 per million. Australia has 13[4], or 0.54 per million. As you've pointed out, Australia has a lower population, so this probably means that smaller shootings are worthy of articles. Removing shootings with less than 5 victims(which wouldn't have an article if they were American) gives us 7, or 0.30 per million.
Going back to homosexuals, the US has 148 items in Wikipedia's "History of violence against LGBT people in the United States"[5], or 0.47 per million. Australia has 13 entries(and no dedicated page)[6], or 0.54 per million. I'd almost surrender that point, if Australia didn't have 100% less cults walking around shouting that god hates fags, and 100%(or 6) less mass shootings of homosexuals.
Admittedly, I truncated all my numbers because I'm lazy. Sorry.
According to your logic, we should expect to see more hate crimes.
This amounts to putting words in my mouth. The only point I was making is that the stats you were citing were somewhat disingenuous in their framing. Your framing still comes across as poison pen material.
I'm not arguing that the US has it all figured out. I have plenty of criticisms of my own country. But this kind of venom essentially makes your words hypocritical. It amounts to decrying the hatred here while being hateful.
Population of USA: 323.1 million (2016)
Population Density of Australia: 2 people per square mile
Population Density of USA: 84 people per square mile, with much higher density in some areas.
Your statistics are a little like saying "There sure are a lot more murders in the big city than in my small town!!!" If you aren't making any attempt to look at comparable data like per capita incidents, it is a classic case of how to lie with statistics (an excellent book, btw).