BUDAPEST — In his victorious campaign to secure a third consecutive term as prime minister of Hungary, Viktor Orban had a clear, urgent message: The nation was at risk from an international cabal looking to undermine its sovereignty, and it would be overrun with migrants if he was not elected.

With his party firmly in control of this Central European country, Mr. Orban says it is time to take that campaign continental. On Thursday, in his first address to Parliament in his new term, he styled himself as the leader of a movement to reform the European Union and as defender of the sovereign rights of its member nations.

“Now we will be hunting for big game,” Mr. Orban said. He presented a vision for Europe that stood in stark contrast to the one embraced by Western leaders like President Emmanuel Macron of France and Chancellor Angela Merkel of Germany, with their acceptance of political and ethnic pluralism, dissent and fairly high levels of migration from Asia, Africa and the Middle East.

“We need to say it out loud because you can’t reform a nation in secrecy: The era of liberal democracy is over,” Mr. Orban said. “Rather than try to fix a liberal democracy that has run aground, we will build a 21st-century Christian democracy.”