Well, to be honest the new proposed badge does look cool and impressive, but I'm a bit surprised that you chose a battleship as a symbol of Cold War at sea.
Battleships were already obsolete by the time of WWII, and by the time of the Cold War, their role shrink even further as they were confined to costal gunfire support. Other than that, they were pretty useless fossils, especially at sea. By then, naval doctrine called ships to be attacked from a certain distance, either by ship-to-ship missiles, by aircrafts or by submarines - but not by direct fire from massive 16in guns (or maybe just for the "coup de grace", preferably with some TV crews around to get some nice images for the evening news). Moreover, in the event of Cold War, the belligerents would have extensively used tactical nuclear warheads against ships, making the armour of a battleship pretty useless... So appart from its psychological role (and amphibious gunfire support), I question the utility of a battleship in modern naval warfare (for more info, I refer to the excellent explanations recently posted in this thread).
I know that battleships have been used in various theaters until the 90s, but the true masters of the seas were and still are carriers, subs and ASW vessels. I'm sorry to be a little harsh there, but battleships, even though they look majestic, mighty and undestructible, and give a feeling of brute power to a nation, are basically useless naval dinosaurs. So IMHO, using a battleship as naval Cold War symbol/badge would be like using a triplan for a WWII GB.
I can understand the fascination though.
Enough talk: what do the others think?
PS: the second picture didn't come through...
PS 2: due to various rigging problems on the USS United States, I will only be able to start working on the kits of this GB in May or so...