Actions-wise, the LNP are not that far from the Democrats on social issues. They called the same-sex marriage referendum, passed gun control laws, supported a voice to parliament (until Dutton), mostly ignored trans people. The issues they're right-leaning on are Israel (like the Democrats) and immigration (like the Democrats).

Climate change, is the one social (and economic issue) they're to the right of Democrats on that I know of.

And of course, if you take the National party on it's own then it's definitely to the right of the Democrats.