You may use YPbPr Component to VGA Video Audio Converter for switching between component video (from Xbox) and VGA video from your PC.

And you may use Lake PC to TV Converter Box for converting VGA to S-Video or RCA. The monitor and EasyCap should work simultaneously.


It seems that the same devices are available from Chinese shops:
DealExtreme: YPbPr Component Video to VGA Converter
DealExtreme: VGA to CVBS + S-Video PC to TV Video Converter Adapter
Most probably these Chinese devices are sold under different brands.