Kawasaki called the V a "dualsport" but I don't think there are many owners who would call it that, at least without modifications.
If you want an off road machine Im thinking keep what you have, if you want more road capabilities but still want to go off road, get a KLR. The new KLRs are about the best off road/on road compromise you will find. They're biggest drawback is they are short on power. They will do it all, just not as fast as most bikes. Keep in mind, I went from a KLR to a V last year. I loved my KLR and wish I wouldv'e kept it AND bought the V because they are totally different bikes. I love my V as well but the most off roading it sees is the occasional gravel road and the back yard.