To list, here is what it has in common with the original themes which made the X-Com games popular:
Brand name.
The time period, a near-future earth, is gone, replaced by a Bioshock-era stylised 1950s setting. The genre, a hybrid of real time strategy and turn based squad strategy is also gone, replaced by first person mechanics from the Bioshock 2 engine with a glorified mission selector. The theme, an invasion from mars by an alliance of aliens based on mars, some near-human, some horrifyingly non-human, is gone. Replaced by, again, a Bioshock-esque bizarre array of uninspiring enemy designs consisting of; black blobs, a big floating block, and a big floating ring.
The point was that in the original, humanity was sufficiently advanced that we could put up enough of a fight to last long enough to reverse-engineer their weapons and fighter craft for our own use.
It's sad to see X-Com go this way… The fact that it's coming out on the Xbox only proves how dumbed down it has become from its deeply complex roots in strategy gaming.