It's either
"How does a conspiracy theorist look?"
which is informal
or
"What does a conspiracy theorist look like?"
which is proper.
It's not
How does a conspiracy theorist look like?
Like I wrote before, you're burned out.
You forget what it is that you've typed before you get to the end of your thought.
Heaven help you if you smoked pot.
On the subject of "conspiracy theory," I was widely mocked for what turned out to be my prescient views regarding the Iraq invasion and war. A comprehensive study by thirteen intelligence agencies that was published in April is now coming to light and is getting national media attention as the congressional races are coming up in less than forty-five days. The report confirms what I've been writing for years.