As someone who as transitioned from a DX body to a FX body and has used both the 60mm and 105mm extensively on both bodies, I can offer you my personal views on using these lenses on an FX body like the D700 from personal experience.
First it should be noted that I have been shooting with a D3 (FX body, with a near identical sensor to the D700) for the past two years. I have also recently acquired a D3X which I can use interchangeably with the D3 in the same housing, which I have used primarily for macro.
First, to be technically correct, a 60mm lens or a 105mm lens is always 60mm or 105mm lens whether on a DX body or FX body. The conversion factor (crop factor) of 1.5 on a DX body may refer to an equivalent focal length, however, in respect of this, it is just the angle of view that is equivalent, nothing else. If you take a 28mm lens and put it on a DX body, you may get an equivalent focal length of 42mm, however, the lens still displays the refractive properties of the 28mm lens. If you compare this versus a true 42mm lens on an FX body you will see differences in the image even though the angle of view may be the same.
When I moved to the full frame, I expected the same as what Mark has indicated - that I would find the 60mm less useful and begin to use the 105mm more to keep the equivalent angle of view. However, that has not been the case. With the FX sensors of my D3 and D3x I find myself continuing to use the 60mm more than the 105mm. I still find it quite a bit easier to use and still quite versatile. I still use the 105mm on occasion, but if I'm not sure exactly what I am going to see from a macro perspective, I will always take the 60mm with me.
Here are a few shots from a few weeks ago in Bonaire, all shot with the 60mm.