Iunno. I tend to see the three domains as separate trees, considering how much they have diverged even if they shared common ancestry.
So... even though they all share a common ancestor, you're going to view them as different trees of life anyway? o_O
I can only think you're using a different meaning of "Tree of Life" to the rest of us. In any case it's not a particularly useful view (any more than it's useful to view different phyla as different "trees of life"), firstly because the homologies between the different domains mean that discoveries from one domain can be transferred to others (for example, discoveries of certain proteins in Archaea have been used to search for homologous proteins in Eukarya and then, using the archaeon as a model, to understand what the proteins do in the eukaryote) and, secondly, because the borders between the domains are not clear cut: horizontal gene transfer occurs between Archaea and Bacteria, and organelles such as mitochondria and chloroplasts have their endosymbiotic origin in Bacteria, meaning Eukarya cannot be fully understood without investigating other domains.