SJP or Robert Pattinson?

The set of Sex And The City 2 has become more like a press junket for Twilight now that SATC stars Sarah Jessica Parker, Chris Noth, and the rest of the gang have been forced to hire additional security to cope with the legion of fashion-forward fans who have descended on NYC’s Upper East Side since the sequel began shooting there on Tuesday.

“They looked more like they were protecting the President than Sarah Jessica Parker,” an eyewitness at 84th St. and Park Ave told The New York Daily News on Thursday. “At one point, teenage girls were practically trampling each other trying to get to Sarah Jessica as she was walking back to her trailer, but her security team was shoving everyone out of the way.”

Fans even tried to storm security to get close to series star Cynthia Nixon, who plays outspoken attorney Miranda in the series.

“People were screaming and trying to push past guards. The fans were just too much. Security looked legitimately concerned for her (Nixon’s) safety.”

But the heavy-handed security team upset Sarah Jessica , who reportedly asked them not to “hurt her fans.” The insider adds, “She looked upset and extremely concerned. The guards were getting pretty rough.”

Sex And The City 2 — the follow-up to 2008’s blockbuster Sex And The City: The Movie — opens in theaters Memorial Day Weekend 2010.