The Russians sould really develope this idea. There are many people (myself included) who would like to go on a nuclear icebreaker!!
This is from http://en.wikipedia.org/wiki/Nuclear_powered_icebreaker
"Yamal", August 2001 Since 1989 the nuclear powered icebreakers have also been used for tourist purposes carrying passengers to the North Pole. Each participant pays up to US$ 25,000 for a cruise lasting three weeks. The NS Sibir was used for the first two tourist cruises in 1989 and 1990. In 1991 and 1992, the tourist trips to the North Pole were undertaken by NS Sovyetski Soyuz. During the summer of 1993 the NS Yamal was used for three tourist expeditions in the Arctic. The NS Yamal has a separate accommodation section for tourists. The NS 50 Let Pobedy contains an accommodation deck customised for tourists.
Quark Expeditions has chartered the nuclear-powered icebreaker "50 Years of Victory" for expeditions to the North Pole in 2008. The vessel's maiden voyage to the North Pole embarked in Murmansk, on June 24, 2008. The ship carried 128 guests in 64 cabins in 5 categories. "50 Years of Victory" completed a total of 3 expeditions to the North Pole in 2008 for the polar adventure company.