I too have an '09 and I'm 6' 220 pounts. The wind actually caused me to break my knee on the KLR 2 weeks ago. However, the winds that day in Colorado were 40 gusting to 50, I was on a single track in a field and a cross wind came along so strong it felt as if I hit something. It blew the front tire off track and into a rut. The bike got crossed up from this little episode and started to go over. I stuck my left leg out to attempt to keep it up and my knee took the entire impact of the 400 pound bike and my 220 pound ass at 25mph.
BUT! I do not blame the bike or it's design on this little fiasco. This was an abnormally strong crosswind, and one that would have reaked havoc on any bike. Earlier that day I was riding at highway speeds in this wind and was getting tossed around a little but nothiing that caused concern. Being on soft sand/dirt with the OEM tires didn't allow the front tire to bite and stop the lateral sliding.
I ride my ST in wind like this at times (across Kansas) and it gets moved around a bit as well, but it's a more aerodynamic bike and weighs 300 pounds more.
Your bike is a good one. Just go with the wind as safely as possible and don't try fighting it too much. I've owned and ridden multiple bikes and all of them have their own wind-handling characteristics. None of them have ever been blown into opposing traffic or even come close to being dangerous.
De inimico non loquaris sed cogites