It doesn't look like there's anything we can do to get these Clear Channel stations like KFI for now. Perhaps, as they begin to realize all the people listening on non-computer devices, like Rokus, Sonos, Recivas, Squeezeboxes, various smartphones and other devices, they'll get smart like CBS did, and provide compatible streams.
So, I'm already switching to other stations. Found out yesterday that Leo Laporte's "Tech Guy" radio show, which I enjoy on KFI weekly, is also on several non-Clear Channel stations that also stream online:
WMAL 630 AM - Saturdays 2PM-4PM ET; Sundays 8PM-9PM ET
KBBW 1010 AM - Saturdays 1PM-4PM CT
KGO 810 AM - Sundays 11AM-1PM PT
WFTL 850 AM - Sundays 2PM-5PM ET
Perhaps some of the other shows heard on KFI can also be found elsewhere. I agree that KFI is a very good station; too bad they chose this route for their streaming.