I've tried to figure this one out for a while now but it's proven a tough nut to crack.
I started looking into it again this weekend and I think I may be onto something.
First off I think this date comes from Dave Thompson's book The Saga of a Hypester.
On pages 103-104 he says Jane's opened for the Psychedelic Furs at this show.
I have looked around for a Psychedelic Furs gig listing but come up with nothing that shows them in Santa Barbara in August of '87.That same month, August, Jane's Addiction made another of their periodic sorties into the world of Perry's British influences when they were invited to open for the Psychedelic Furs in Santa Barbara.
I did however find some evidence of them playing in Santa Barbara in 1986.
There's this link to the Santa Barbara Bowl which shows the Furs there in 1986.
Also I've previewed a few Los Angeles Times articles that support the Furs in 1986 vs 1987.
As soon as I can I'll get the complete articles and post them.
It seems to me as though this show found it's way to the list via Dave Thompson's book and that in this instance he may have only been half right.