Hmm. I figured it was their use of "evolution" that's confusing you. It's just a marketing word, like "best". You have to read and understand the specs instead. At the least, it should be a big red flag to even a non-engineer that the RADIOS ARE TOTALLY DIFFERENT.
UMTS was called an "evolution", too. But UMTS (3G) also required a totally different set of radios. Which is why ATT is so far behind in 3G deployment, much less adding LTE.
The only true "evolution" part possible, would be if ATT first added HSPA+ support and its optional IP based backend. Then at least the backend (not the radios) could be evolved to support that part of LTE. However, they recently said they're not adding HSPA+ first.
Repeat: LTE is NOT natively backward compatible with either current GSM or CDMA networks. Control and comm support for it must be wedged into the older systems, and totally new devices (with new radios) must be built.
LTE actually has more in common with WiMAX (OFDMA radio, IP backend) than it does with current GSM or CDMA networks.