Loosening gun control, imposing traditional family values, and and rolling back women's rights are pretty standard and normal right-wing platforms.
You described perfectly what a far right means in Europe's standards, abortion it's not only imposing traditional family values but cutting women's rights and going back 30 years in the current political situation here.
Idk how things are in Argentina but I'd say that his "zurdos de mierda" declarations aren't from a liberal or even an libertarian politic, he is clearly a right wing populist but we will see, there is a lot of difference between what's promised and delivered in every candidate/gov.