Tariffs are instituted primarily for economic protectionism. Funds raised from them are a significantly distinct and secondary function of them. There is no disputing the fact that the north advocated protectionism by tariffs, and in many cases got it.
The south on the other hand, as expressed repeatedly in pre-war editorials and by two of the four states that wrote declarations of causes for the war, was against protectionism because it ruined crop prices on the international trade.