Actually, since the introduction of the carbon levy B.C. has largely had better job growth than the rest of the country.
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The sooner B.C. raises that levy, and the faster it raises it, the better off the B.C. economy will be.
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If you had been paying attention, you would have noticed that the richest economies in the world have substantially higher (i.e., close to double) gasoline prices than Canada.  High gasoline prices have not hampered those economies in the least.  In fact, they have flourished.
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It turns out that internalising the negative externalities of burning hydrocarbons does exactly what basic economic theory says it should do:
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It has made those economies richer.