What are the Canadian Supreme Court's public approval ratings?  How
high/ low does the Canadian public rate the Canadian Supreme Court? 
How do the Court's ratings compare with the public's opinion of other
branches of government (e.g., Parliament)?

An Ipsos-Reid Survey of 1,000 Canadians conducted in March, 2003,
found that 66% of Canadians believe the Supreme Court of Canada is
influenced by partisan politics. Only 20% of Canadians reported that
they have strong confidence in the Court.

"Two of three Canadians think the Supreme Court of Canada is
influenced by partisan politics, a new poll shows.

When asked whether they think party politics plays a role in court
decisions, 66 per cent said yes. Forty-nine per cent reported that it
sometimes plays a role and 17 per cent said politics always plays a
role, says the Ipsos-Reid survey.

Also, Canadians reported only 'middling satisfaction' with the court
in general, said pollster Darrell Bricker.

The findings are a change from other surveys in recent years, which
showed most Canadians were happy with the country's highest court...

The results showed that 65 per cent of Canadians -- about the same
number that believe the Supreme Court is partisan -- approved of the
court's performance in the last year. But less than 20 per cent of
Canadians reported a strong confidence in the court... Fifty-five per
cent disagree that judges have too much power, a common criticism
levelled at the Supreme Court, particularly from the political right."

Vancouver Sun: High court too partisan
http://www.canada.com/vancouver/vancouversun/specials/sunspecials/story.html?id=5C669D41-26C1-4CD4-9369-6F77E7859AA3

Some interesting, related statistics:

"A new Ipsos-Reid/CTV/Globe and Mail poll indicates that while seven
in ten (71%) Canadians agree that it should be up to Parliament and
Provincial Legislatures, not the courts, to make laws in Canada, eight
in ten (78%) express agreement with the statement that ?since the
Canadian Constitution is the ultimate law and that laws passed by
Parliament and Provincial Legislatures must conform to the
Constitution, Canadian courts are within their right to issue
decisions, that are based on constitutional grounds, that become
legally binding.?

While a large number of Canadians in total agree with this position,
the intensity is not as strong as for the belief that the creation of
laws is the sole jurisdiction of elected representatives. In fact,
just one in four (23%) express strong agreement for the later
viewpoint, compared to 34% for the view that legislatures, not the
courts, should make the laws in Canada.

Looking further at the role of courts and judges in Canada, a majority
(54% - 22% strongly) feel that judges in Canada have too much power."

Ipsos News Center
http://www.ipsos-na.com/news/pressrelease.cfm?id=1878

Apparently there is also a widespread lack of confidence in Parliament
and in the Prime Minister:

"University of Guelph professor Maureen Mancuso, Department of
Political Science in the College of Social and Applied Human Science,
and a team of four other political scientists conducted a
cross-country survey of 1,400 Canadians asking what they think of the
behaviour of their elected representatives...

More than half of survey respondents -- 54 per cent -- say they have
little or no confidence in Parliament, with the figure being even
lower -- 38 per cent -- for the Senate. In addition, 34 per cent of
Canadians believe the ethical principles of MPs are lower than the
average Canadian's."

University of Guelph: Research Notes
http://www.uoguelph.ca/~webadmin/ALUMNUS/17.html

"In a stunning reversal of fortune, federal Liberals are now watching
helplessly as not only their party's popularity plunges but confidence
in leader Paul Martin as well, a Sun Media poll suggests. The poll of
more than 3,100 Canadians conducted by Leger Marketing shows
Canadians' trust in Martin sinking to just 27%. Two months ago 39% of
those surveyed said they had confidence in the Prime Minister...

Martin's misfortune, however, isn't translating into a benefit for the
opposition leaders. Neither Conservative leader Stephen Harper nor NDP
boss Jack Layton get a boost. Confidence in Harper is stuck at 16%.
Only 10% of Canadians polled say they would trust Layton at the helm."

The Winnipeg Sun: Poll shows Grits adrift
http://www.canoe.ca/NewsStand/WinnipegSun/News/2004/06/02/482380.html

I hope this is precisely the information you need. If anything is
unclear, please request clarification; I'll be glad to offer further
assistance before you rate my answer.

Best regards,
pinkfreud

Pinkfreud's answer to my question was excellent.  Thanks for the help!