1. You don't see AMD cpus in the store because they draw tons of power. Most people use VIA Mini-ITX mobos because you can easily get an OPUS pwoer supply for that low-power motherboard.
Your setup is going to draw tons of power, good luck finding a power supply that will run all of it.
2. Shaking won't affect CPUs at all, neither will cold. They are completely solid-state, vibration doesn't affect them. I haven't heard of any carpc users having trouble parts failing to vibration or cold.
3. Could you elaborate a little more on what you mean by 'filters'?