if you are using an a/v receiver as a "central switch", then the TV only sees one source as input. The only way to use multiple inputs on the TV, is to run the video straight to the TV inputs and run the audio on separate Toslink Optical or digital coaxial audio cables to the receiver. You will get regular Dolby Digital 5.1 sound, but not the newer lossless HD codecs available on blu-ray and only delivered by HDMI cable.
Many TV's have multiple adjustible video settings, like "Movie", "Normal", etc. Each of these settings usually allow viewer settings that are remembered by the TV firmware. So even one input can have several video selection settings. It's not the same as calibrating each input, it's calibrating each available "video preference setting" for a single input.