I've owned a KLR, a Vee, and now a '12 Wee. They are 3 really different bikes, IME.
The KLR is a tractor. It's ABLE to go on the highway - it's not any good at it. I got rid of my KLR because of the terror and fatigue it induced on the highway. I loved that bike, tho: cheap, simple, drop without damage, take it anywhere.
The Vee is a touring bike, IMO. 90+hp (KLR is something like 35hp), it wants to GO. First gear is tall; 6th is lugging at 65mph. WOT will push you back in the seat and/ or loft the front tire. Scary in dirt/ gravel for me, tho. It's heavy. If you drop it, expensive stuff breaks.
The Wee (the '12, anyway), IS halfway between - in weight and hp. It's a light bike with a manageable engine which inspires confidence on gravel and dirt. It's a heavy bike with a powerful engine to take on the highway without fear. Add ABS, 50+mpg, and super reliability. What's not to love?
As stated, a LOT of KLR guys end up on Stroms.