"If the Immigration Minister gets his way in parliament, any asylum seeker convicted of an offence during their time in detention will automatically fail the “character test”, virtually disqualifying them from a permanent protection visa."
Good. Don't forget to deport them outright.
As for your "if we are extremely lenient towards them, they'll be good to us and integrate" argument;
Which highly criminal Islamist-inhabited town, hate crime against a Kaffir, Muhamad cartoon riot, or other example of non-integration of a successful immigrant of poor character would you like me to describe for you first?

My way- again- fast application of tests, strict character entry grounds; anyone that appears to be of poor character, religious fundamentalist, or follows a culture of tribalism, violence or other attribute that would be incompatible with Australia will be judged in detention- anyone who is not can be judged in the community. That way any psychological damage during detention is minimized, and people that should not be allowed in are immediately deported.

As for whether the rioters should fail their character tests;
Lets see:
We are gambling my safety from a pyromaniac, on solely the argument that the pyromaniac might not feel so inclined to resort to violent extremes in the future if he got his way now- to which my examples would merrily point otherwise.

I'm amazed how some people are seriously expected of themselves to give up their own rights to safety and liberty at the hands of those rights of a nutcase, because that nutcase is the squeakier wheel.

Seems to me that any instance of self harm should also bring an automatic rejection of any application. One thing we don't need, along with all the rip off merchants, is a new crop of nut cases.

It is also time we started deporting any serious law breakers in our immigrants, formal, or refugee. Any mew comers that commit any criminal act, anything more serious than a speeding fine, should be gone so quickly their head doesn't stop spinning for a month.

I am heartily sick of being expected to pay for our bleeding hearts generosity. They really excel at being generous with other peoples money.

No Ammonite, you did not understand either Ludwig nor Myself.