Bushian Logic

Over the course of the last few days, I have received a lot of correspondence (here as comments, by email, and other places where I hang out on the net) which for the most part make the same odd logical leap (sometimes aggressively, sometimes nicely, sometimes filled with bile and invective), which I'm at a loss to really follow. that is that by criticising and expressing my anger at the Israeli bombardment/war on Gaza, I am therefore supporting Hamas. How does that work? Bush and his supporters used the same one when trying to justify their attack on Iraq. "if you don't support our invasion, you must think Saddam is great" Has this kind of "logic" gained common currency these days? What's all that about?