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Regardless of whether or not campaign funds can qualify as free speech, wealth also equals power; and the ruling thus transforms our nation from a democracy to a oligarchical plutocracy.
Virtually every society in human existence has an oligarchy with a concentration of wealth and power. USA had an oligarchy before Citizens United, and it will have one even if it is overturned.
That's an appeal to tradition and an appeal to common practice. The fact that it's the norm and has been that way for a long time has no logical hold on the issue.
The first amendment guarantees freedom of political speech
Freedom of political speech does not assume a weighted freedom, based on wealth. This is equivalent to buying more votes, which actually detracts from other citizens' freedom of political speech.
Not just votes, but it also robs voters of any influence. It makes your vote empty in effect. The will of the people becomes nothing to the will of a few oligarchs.
The Constitution IS the authority. SCOTUS exists to rule by the Constitution, not its own whim or public opinion.
Their interpretation of the Constitution is ever-changing; and the Constitution is not set in stone. Amendments are always a possibility, so that was an appeal to authority, because it has no bearing on whether the ruling SHOULD be overturned. If you believe in democracy, then it has to go.