Harper campained on not opening the constitution, so it certainly won't happen at least until after the next election.
But remember too that according to some in this forum, to propose removing discrimination on the basis of religion in the constitution is somehow biggoted against Catholics. I still haven't figured it yet, but apparently so.
The Province can pass it - Then the Canadian Parliament can as happened in NFLD-Labrador.
About SSE in Alberta | The Issue: SSE Across Canada
Newfoundland and Labrador had no public school system when it joined Confederation in 1949. All primary/secondary education was provided by one of a number of denominational school systems. Each system received financial assistance from the Government of Newfoundland and Labrador. In the 1990s the people of Newfoundland and Labrador voted twice to abolish the church-operated system of schools and replace that system with a non-denominational public school system.
Freedom of religion in Canada - Wikipedia, the free encyclopedia
Newfoundland similarly abolished the constitutional requirement for funding for religious-based separate schools in 1998, by a constitutional amendment enacted by the Newfoundland and Labrador Legislative Assembly, the House of Commons and the Senate.[28] Prior to the amendment, Newfoundland and Labrador was required to fund separate schools run by a number of different religious groups.
http://www.cpco.on.ca/News/PrincipalConnections/PastIssues/2006-2007/Fall/A Precious Legacy Lost.pdf