Who's to say that Cruz holds different views in TTL had he chose to remain in Canada?
Since the OP mentions that Cruz is educated in Canada, let's see what could fit:
*From Wiki: "In 1974, his father left the family and moved to Texas.[15] Later that year, his parents reconciled and relocated to Houston.[5]" That would be the POD. That would make Rafael Jr. 4 years old, putting him living under Peter Lougheed's PC Government in Alberta and PET's Liberal Government federally. From that time until 1979 (when, in OTL, Trudeau lost to Joe Clark), the field's wide open for any changes outside of Calgary.
*At that time, the Progressive Conservatives were still largely practitioners of the balance between the Blue, Radical, and Red wings of the party, though the Red Tory branch was largely dominant due to its large presence in Central Canada. Having said that, even with Western Canadian populist conservatism, as overoceans mentioned Lougheed was a Red Tory. So here Rafael Jr.'s options are open. At that time, Socred was largely a minority party, so he'd have to go through the Tories if he wanted to advance politically. It's very possible that Rafael Jr. could, under different circumstances, have views that would work under any one of those three branches. It's all contingent with how Ottawa handles Québec and Western Canada, and if it's any different in TTL.
*Once Rafael Jr. goes through high school, the question thus becomes whether he goes through college or uni (a different choice than in the US), and if he choose uni whether he follows his OTL path to Princeton (and later Harvard Law School) or not. If he chooses to go south for uni, his experiences in the US would definitely form a definite part of his ideology.
By that point, however, he would not necessarily be the Ted Cruz we know from OTL, and from there the exercise falls apart, depending on whether he becomes a Tory MP or if he joins the Reform Party (contingent on having a Mulroney Government in the first place which would allow Mulroney's coalition within the Tories to implode into both the Bloc and the Reform Party), since there's no Socred option (since Socred would be the closest one would get to the modern GOP until the rise of the Reform Party).