Hi Peter,
Sorry, but I cannot think of a way to do this easily and automatically. I don't think group layers will work for input to the Geoprocessing Tools. If this is really worth investigating to you, then you could write a little custom code to go through all the layers in the group layer and do the mosaicking / resampling after that.
In the future, you could use a mosaic dataset for your management solution for the different data (rather than the group layer). Maybe autocad will also support mosaic datasets - I don't know. But in the mosaic dataset you get the selection and you can mosaic it's contents easily.
Sorry, that's all I can think of.
Robert