I guess I can see why that sounds like a double standard I'm using - why it's cool for him, but not for you.
But here's why I think it would be. The quote you took from Ken Ham about evolutionists is probably part of a larger text, where he explains what he meant by it.
Am I right? (I haven't read Ken Ham in a while, but generally, when he makes a statement, he explains his position and gives reasons for it.)
On the other hand, your meme doesn't have that context, and you didn't supply a reason that I could see behind your counter-claim that Christians are "so brainwashed by... beliefs, that they can't distinguish belief from fact." That's why I'm assuming at this point it's fair for him to say it, but not for you.
Can you supply any evidence or reasoning behind your claim that Christians are brainwashed, and can't distinguish beliefs from facts?