That Lincoln intended to collect revenues from imports to Southern ports is expressed in his March 4, 1861 Inaugural Address:
So, what Lincoln mentions in his Inaugural we should not be surprised to hear of him mentioning in various conversations.
Nevertheless, the particular remarks you quote do not appear in any book on the period I've read, and your implication that it was a matter Lincoln obsessed over is thus not valid.
The bottom line here is that Lincoln did not, as you claim, go to war to preserve Federal revenues from import duties collected at Southern ports, since most imports came through Northern ports and Deep South ports represented a miniscule percent of the total.
Indeed, Lincoln went to war at all for one reason only: because the Confederacy first provoked, then started and formally declared war on the United States, while sending military aid to pro-Confederates in Union Missouri.
“And what is to become of the revenue?” was the reply. “I shall have no government - no revenues.”
This must be the holy grail of lost causerdom. Notice that they all point to the same source(s) (sources that point to one another in a circular-logic pseudo self-affirming style) but cannot provide one first (or even second) hand reference. Notice also that the alleged quote varies from assertion to assertion.
Since one cannot “prove a negative” you will never convince the lost causers that Lincoln never said this.