LOL, so let's see - if you're a staunch progressive liberal, then you want to "conserve" extreme liberalism, so you're a "conservative liberal."
If, however, you want to include free-market conservative concepts into your liberalism, then you're just a liberal, and not a conservative liberal.
Got it.
No.
The Liberal Party of Australia is the name of Australia’s major conservative party, which is currently in government as the largest party in the Liberal/National coalition government. It’s been called that since the 1940s when the name was selected as a reference to the classical liberalism of the late 18th through 19th centuries.
Senator David Leyonhjelm is not a member of that party. Instead he is a member of the Liberal Democratic Party which is not part of the coalition, and is completely separate.
That’s why, in Australia, referring to him as a Liberal Senator is a mistake - because he’s not a member of the Liberal Party, and that is who that term is used for.