Judging by Entergy's several years worth of security failures at Palisades, and breaches going back over a decade at other Entergy nuclear power plants such as Indian Point near New York City, the answer to that question is quite dubious.
Beyond Nuclear has published a backgrounder chronicling Entergy security problems at Palisades and Indian Point, and the lethal, and potentially catastrophic risks, at stake. See the PDF, as well as the Word version (containing live links to various documents cited).
The backgrounder was prompted by an NRC Confirmatory Order that went into effect on August 22nd.
NBC 5 Chicago reporter Chris Coffey interviewed Beyond Nuclear's Radioactive Waste Watchdog, Kevin Kamps, regarding the security failures at Entergy's Palisades atomic reactor on the shore of Lake Michigan -- Chicago's drinking water supply. Kevin warned that the security department at Palisades is a "chilled work environment," because guards are reluctant to raise safety and security concerns for fear of being harassed, retaliated against, and even fired by their own management. Kevin added that "They've got a very serious safety and security and accident potential at Palisades because of the age of the reactor."
The Kalamazoo Gazette's Yvonne Zipp has also reported on this issue, in an article entitled "Safety culture of Palisades Nuclear Plant's security department scrutinized after ex-guards raise concerns." The article is one in a multi-part series appearing this week.