Yes, sort of.
The bar in question is at Red Square, a restaurant at Mandalay Bay with a post-revolutionary Russian theme and "Russian-inspired" steakhouse food (caviar, Siberian nachos made of smoked salmon, citron caviar, and crème fraîche, stroganoff, and strawberries Romanoff). The headless statue out front is of Vladimir Ilyich Ulyanov, a.k.a. Lenin. (The statue was decaptitated and defaced with simulated pigeon droppings after the uproar it created when it was unveiled with the head, especially in the local Russian community, which likened the display to a statue of Adolf Hilter outside a trendy German restaurant). The décor features monumental wall art glorifying the Great Workers Paradise, with abundant hammers and sickles and other symbols of both Czarist and Communist Russia.
The whole Red Square bar isn't made of ice, only a 30-foot-long portion of the surface of the bartop. The idea is that you set your glass down on the ice, which keeps your drink cold. In reality, since this bar is famous for vodka and many of the glasses are stemware, the ice on the bar keeps the base of the glass cold, but doesn't change the thermal environment of the liquor that much. The icy bartop is a conversation starter and it's great for fingerprint designs.
While you're there, check out the Vodka Locker, which is kept at around 10 below zero degrees Fahrenheit and stores upwards of 200 different varieties of the alcohol. You can don mink coats and fur hats for vodka tastings in the freezer ($250 min. bottle service rules apply), where Lenin's head sits on the floor. (We actually featured this in the QoD for 7/21/07, where you can see a picture of the interior.)
If you're looking for a real ice bar, you have to venture farther afield and to some colder climes, which seems somewhat ironic, since an ice bar sounds like a better idea in the blistering heat of Las Vegas than it does in London or Scandinavia, where log fires might be deemed more appropriate for much of the year. Nevertheless, if you like your drink (and everything else) really chilled, there are genuine ice bars, where pretty much everything is made out of ice (often including the drinking vessels), in London, Paris, Copenhagen, Milan, Stockholm, Montreal, Shanghai, and Tokyo, not to mention the ice hotels in Kiruna, Sweden, Chena Hot Springs near Fairbanks, Alaska, and Quebec, Canada. In the latter, it's not just the bars that are made of ice, but also all the interiors, decorations, and furniture, including the beds. Suitable clothing, thermal sleeping bags, and animal skins are provided, along with plenty of hot drinks.