If this is something you are willing to do then by all means. They've got a pretty good rep and apart from the occasional complaints, you should be good to go.
This is an important consideration. It's one thing if you plan to regularly trade. In that case, it makes sense to fully verify your identity and use a trustworthy exchange like Bitstamp. But a one-time purchase of a few bitcoins probably doesn't justify doing so.
Personally, I'm very paranoid about giving out my personal financial information and passport to a foreign company. It's getting tougher to buy coins without ID now, though. Even Localbitcoins traders in my area are asking for it now. I wish that exchanges would publish more information about their compliance with data storage laws.