Conservatives are not Bull Moosers. Bull Moosers were indeed the Progressive Party and Teddy’s platform was socialist:
The Bull Moose party platform - “New Nationalism” - included direct election of U.S. Senators, the creation of an initiative, referendum, and recall process, woman suffrage, a national tariff reduction, child labor laws, old-age pensions.
It called for easier amendment of the U.S. Constitution, workers’ compensation, farm relief, revision of banking to assure an elastic currency, required health insurance in industry, new inheritance tax, income tax, and limitation of naval armaments.
This "progressive" (liberal) label you're trying to put on her isn't even worth responding to. Find some other talking point.