Bush is much more like Churchill's longtime foe than Winnie himself:
Like Bush, Chamberlain laid claim to unprecedented executive authority, evading the checks and balances that are supposed to constrain the office of prime minister. He scorned dissenting views, both inside and outside government. When Chamberlain arranged his face-to-face meetings with Hitler in 1938 that ended in the catastrophic Munich conference, he did so without consulting his cabinet, which, under the British system, is responsible for making policy. He also bypassed the House of Commons, leading Harold Macmillan, a future Tory prime minister who was then an anti-appeasement MP, to complain that Chamberlain was treating Parliament "like a Reichstag, to meet only to hear the orations and to register the decrees of the government of the day" ...
Churchill, on the other hand, revered Parliament and was appalled by Chamberlain's determination to dominate the Commons in the late 1930s. Churchill considered himself first and foremost "a child" and "servant" of the House of Commons and strongly believed in the legislature's constitutional role to oversee the executive (even when, after becoming prime minister, he often railed against MPs who criticized him). In August 1939, when Chamberlain rammed through a two-month parliamentary adjournment just weeks before the war began, Churchill -- then still a backbencher -- exploded with anger in the House, calling the prime minister's move "disastrous," "pathetic" and shameful." He encouraged his anti-appeasement colleagues to mount similar attacks against Chamberlain, and when one of them, Ronald Cartland, called the prime minister a dictator to his face in the same debate, Churchill congratulated Cartland with an enthusiastic, "Well done, my boy, well done!"
Churchill would be appalled by the indefinite suspension of habeas corpus and even more by the shameful adoption of torture by the Americans. He was a realist, a pragmatist and a defender of actual liberty. In all three things, he is Bush's nemesis.