I think not, but clearly some disagree.
First off, if you don't know what the hell I'm talking about, Wikipedia's article on the Nissan Skyline GT-R says "...the GT-R name was revived in 1989 with the Skyline R32. This car was nicknamed "Godzilla" by the Australian motoring publication Wheels in its July 1989 edition." Colloquially, this was tongue-in-cheek, as the Aussies though of the car as "The monster from Japan".
Since 1989, we've had the Nissan Skyline R32, R33, and R34, all of which had a GT-R variant that ran the RB26DETT engine (a 2.6L, DOHC, Twin Turbo). Rightly, all of these have been called Godzilla at some point in time (although I've heard it most commonly when referring to the R32 (the first) and the R34 (arguably the best) Skylines). Technically, Nissan of Japan also marketed the Infinity G35 as a Skyline (which did not run the RB26), but I've never heard anyone refer to it as Godzilla.
...and now we have the "Nissan GT-R", whose chassis designation is the R35. Let me be perfectly clear:
The R35 is not a Skyline.
The R35 is not Godzilla.
It may perform better in every category than any Skyline that has existed or ever will, but, even if this was the case, this would not make the above two statements true.
If you disagree, feel free to berate me in the comments. If you agree, feel free to berate the nay-sayers in the comments. If you are an official Jalopnik writer, or are an Oppo guy that gets that sweet sweet FP action on the regular, take heed, or I'm gonna start calling every Ford I see the "Boss".