AMT and AMD's equivalent (don't remember the name) has been a holy grail for security researchers and malware authors alike for many years. People have been begging Intel for a very long time to make business-tier chips without remote access capabilities.
For personal computing, at least we have enthusiast chips. For example, my i7 K model lacks the technology.
EDIT: AMD's remote tech is called Platform Security Processor (PSP). Thank you, jacquesm!