I very, very much doubt that the 18-200 is a significantly better lens than the 18-135. In fact I doubt it's better at all; in terms of optical performance if anything I would expect it to be slightly worse. A zoom lens usually has to make compromises, and a super-zoom makes more than most. And needless to say a super-super zoom makes even more. Also the 18-200mm is no faster (in terms of max aperture) than the 18-135. The 18-200 doesn't seem to have much of an advantage in build quality either. Basically it's selling point (other than covering a huge range of focal lengths) is the VR... and while this in some situations will surely be very helpful, it only counteracts lens vibration - it doesn't help freeze movement of your subject or actually let more light into the lens, as a faster lens would.
If your interest is wildlife then it is likely that some animals may be moving at fair speed, and VR will not help in that situation. Also wildlife photography is obviously a diverse area of photography and so I cannot say this for certain, but it is certainly possible that you may find 200mm is not quite long enough either.
Personally I would be inclined to keep the 18-135, and possibly look at a a zoom going up to around 400mm for the longer "reach"... or alternatively a prime as jstuedle recommended, if a faster lens were required. Depending on your budget you might be able to stretch to a fast zoom. These are of course just suggestions, and as jstuedle points out only you can really make the decision. I'd just advise against replacing the 18-135 with the 18-200 expecting it to be significantly better... some lenses absolutely live up to their hype... I personally doubt the 18-200 is one of them.