From the roof the man tossed shingles down at authorities gathered below and allegedly yelled that people wanted to kill him.
The two statues depict the Blessed Mother and St. Therese the Little Flower.
A local tree service helped remove the large banner from the seven-story statue of Jesus.
Prime Minister Justin Trudeau called the attacks “unacceptable,” but also “fully understandable.”
The hate crimes and violent extremism unit has been notified of the vandalism, police said.
The man is additionally being charged for insulting religious feelings, which could add another two years of imprisonment.
Alfredo Ondarra, head of the Tafalla Municipal Police, said that his team is looking for the culprit.
The case might have happened sometime between the 16th and the 18th May.
The attack shows that their primary intention was to disfigure the church located in the center of the city.