You missed my point completely, sure you can use your name but don't go about it like everyone else. Such as "insert name here" photography. Try using something else like photos or images and not use photography.
Sometimes a name is important, if a company has a bad name, it will not have a chance. Example is google and Bing. They are both good search engine, but you don't hear people say "I'm going to Bing Jennifer Lopez", it just sounds wrong. You'll hear "I'm going to google Jennifer Lopez". If the name sounds cooler most people will use it.
Your portfolio will not always get you the job, it's how well you can market yourself. Is Justin Bieber a great musician? No he is not, the marketing people really knows how to market his music to young people. That's why he sells millions of CD/digital downloads.
"Bing" worked fine as Crosby's name--it's lousy as a company name. But either way, "Jennifer Lopez" is marketable.
"Justin Bieber" is rather dumb as a name, but as you point out, it's still highly marketable.
You're still disproving your own point.
True, a portfolio requires marketing, but an artist's personal name is almost always more marketable than an invented company name unless there's something quite awful about the name.
"Liebovitz" and "Reznicki" work just fine.