In another thread it was suggested he considers himself akin to the antichrist or the son of Satan, with Satan being the Dragon and him being the Son of the Dragon, but IMO it was just IGA not thinking things through.
Ugh..IGA didn't think of the name Dracula. If you wanna point a finger at someone, try Bram Stoker. I think the only thing IGA has said about the origin of Vania Drac's name is that "he named himself Dracula, which means devil or dragon". Which is true, except that he left out or forgot to mention the "a" at the end means "son of". I haven't heard him make a comment about why Mathias chose that particular name (other than that he was pissed and evil and wanted his new terror name to reflect that). The real world explonation is, of course, that CV Drac was more or less based on Stoker Drac, but the in-universe details remain open to interpretation.
No..wait a minute and scratch off some..if we're gonna get to the very bottom of it, maybe you should point it at the guy who first called Vlad III "Dracula" because his dad was Dracul. Or the one who first spoke such a language that resulted in a word like Dracula to come into existence in the first place.
My point is, that sounds like another silly and unfounded jab at IGA.