Unless you are cherry picking from VII, Dignitatis Humanae alone would highlight that current senior management of the worldwide K of C does not support VII constitutions.
Key - "....as the encyclical declares that coercion is fundamentally antithetical to Christian belief and tradition. This endorsement of religious liberty and freedom of conscience represents a marked departure from previous papal encyclicals....."
When Anderson funds groups such as the Federalist, then we have left VII documents far behind.  If DH means that we must be free from coercion in civil society, funding the Federalist, Forenight for Freedom, etc. is just another version, technique, and way of creating coercion.