Another inconvenience of traditional reality is that there can only be one of them at a time. There is no such limit on alternative realities. You can stash them around the house for use as needed, like six-packs in the good old days. So Bush can have one reality where battling terrorism is paramount and another reality where Israel must negotiate and compromise with the sponsors of suicide bombers.
And if he can really juggle all these realities in his head without their bumping up against each other (in a condition known as "irony"), maybe it doesn't even count as dishonest.