Nevin Thunder Young appeared before the Winnipeg Provincial Court to face charges of facilitating terrorist activity and participation in terrorist group activity.
He declared: 'I demand the immediate withdrawal of these specific exhibits from the National Gallery.'
Police are investigating the vandalism.
The memorial – named 'The Rock' – is a large orange boulder with the names Shiri, Kfir, and Ariel written on it.
The Stone of the Twelve Angles is one of the most representative icons of Inca architecture, known for the perfect interlocking of its stones without the use of cement or mortar.
The men allegedly firebombed and vandalism a Sydney home formerly owned by Alex Ryvchin, the co-CEO of the Executive Council of Australian Jewry.
Photos on the group's Instagram show the BBC sign and the building's walls dripping with red paint, designed to look like blood.
McGill University windows were smashed at five buildings by anti-Israel activists on Wednesday evening, disrupting classes and exams.
According to the Australian Jewish Association, the graffiti included swastikas and the slogan "f**k Jews."
“There is absolutely no place at all in our society for antisemitic or hate-based symbols and behaviour,” said the Victoria Police.