You really are a hoot. you have no idea what you are talking about, read or listen to some political science analysis. You don't have to be dead centre in the middle to called a centrist party.
I'll start you out slowly with one of your favourite sources;
http://en.wikipedia.org/wiki/Liberal_Party_of_Canada
The principles of the party are based on liberalism as defined by various liberal theorists and include individual freedom for present and future generations, responsibility, human dignity, a just society, political freedom, religious freedom, national unity, equality of opportunity, cultural diversity, bilingualism, and multilateralism.[9][10]
In the present times, the Liberal party has favoured a variety of policies from both right and left of the political spectrum. When it formed the government from 1993 to 2006, it was a strong champion of balanced budgets, and eliminated the budget deficit completely from the federal budget in 1995 by reducing spending on social programs or delegating them to the provinces, and promised to replace the Goods and Services Tax in the party's famous Red Book.[11] It also legalized same-sex marriage and the use of cannabis for medical purposes, and had proposed complete decriminalization of possession of small amounts of it.
http://en.wikipedia.org/wiki/Political_spectrum
A political spectrum is a system of classifying different political positions upon one or more geometric axes that symbolize independent political dimensions.
Most long-standing spectra include a right wing and left wing, which originally referred to seating arrangements in the French parliament after the Revolution (1789–99).[1] According to the simplest left-right axis, communism and socialism are usually regarded internationally as being on the left, opposite fascism and conservatism on the right.
Liberalism can mean different things in different contexts, sometimes on the left (social liberalism), sometimes on the right (economic liberalism). Politics that rejects the conventional left–right spectrum is known as syncretic politics.[2][3] Those with an intermediate outlook are classified as centrists or moderates.
Political scientists have frequently noted that a single left–right axis is insufficient for describing the existing variation in political beliefs, and often include other axes. Though the descriptive words at polar opposites may vary, often in popular biaxial spectra the axes are split between sociocultural issues and economic issues, each scaling from some form of individualism (or government for the freedom of the individual) to some form of communitarianism (or government for the welfare of the community).[citation needed] In this context, the contemporary American left is often considered individualist (or libertarian) on sociocultural issues and communitarian (or populist) on economic issues, while the contemporary American right is often considered communitarian (or populist) on sociocultural issues and individualist (or libertarian) on economic issues.
You don't understand even the most basics elements of the politics of your own country, shame.