No he's not. He's a left-leaning centrist, like both major Australian parties. Trying to apply American-flavoured extremism to the Australian political spectrum is exactly why getting rid of bubblegum news is a good thing.
For those playing at home, Scott Morrison the "hard religious conservative" who famously said[0] "the Bible is not a policy handbook, and I get very worried when people try to treat it like one" also happens to belong to the party that:
* Outlawed general access to firearms
* Legalised gay marriage
* Introduced GST (VAT)
* Introduced women-centric divorce law
* Gave people free money for having more children
* Made healthcare for pensioners free
Ad nauseam. None of these actions are "conservative" in the slightest, unless you're comparing them to literal communists, of course. The Australian Liberal Party is probably more left leaning than the American Liberal Party.
[0] https://www.themonthly.com.au/issue/2012/february/1328593883...