"A householder told me I didn't know history well. He says that the temple was destroyed in 586, not 607 BCE. I haven't been able to find any sources for 607 yet. Can you let me know where a good resource for him might be?"
Elder's answer: "A source for 607 BCE? Why, the Insight Book, of course. Why would you consult a worldly source? They don't respect the Bible."
Answer to original question: Just for reading a website, by itself, no, you won't get disfellowshipped. But, as others have pointed out, it will 100% certainly lead to questions whose answers, if not "correct", will lead to your disfellowshipping.
And if you point others to an apostate site...buh-BYE!