You could try using a COMPOSITE video switcher. These units work by physically switching multiple RCA inputs to an RCA output. To use it for component video, just use the yellow, read and white RCA connectors for Y, Cr and Cb.
I picked up one of these at Best Buy for $20. I don't have an...
The problem is most likely with your cable box. Do you have a General Instrument box, by any chance?
You can fine tune the IR blaster to correct the problem:
Go through the Setup screens. On the screen labeled Code Set Selection, hit the Replay Zones button on the remote. This will give you...