Harald, this would be more difficult than it seems, although not for reasons that are obvious to most people. Whenever I try to explain this to people I get verbally beaten up for it with "but I don't think it should be so hard" responses. Well it's hard, and I've put in a lot of frustrating time gaining expertise just to learn this. I'm expecting to regret speaking up (again). :-)
First problem is which naming authority to use. For mtDNA using PhyloTree is certain, but for Y-DNA the "obvious" choice of ISOGG is a problem because they are often very out of date, and ftDNA (which generates the most data) doesn't use them. At the J2-M172 project at ftDNA, where I'm a co-admin, two different people have tried to get ISOGG to update the J2-M172 section and subclades and given up because of frustrating organizational issues there. For J2-M172, ISOGG's tree is nearly useless. One person in our team is planning to try again soon, but he's dreading it.
At Family Tree DNA, they are using a trade-secret tree created by the Genographic Project, but it's not public nor is the underlying data easily available to anyone, and therefore it's a very poor choice for us. The YFull tree is usually the most up to date, but so much so that it can be quite experimental. Some major Y-haplogroup projects, like J2-M172 ( http://tree.j2-m172.info/ ) and R1b-P312 ( http://ytree.net/ ) keep their own trees. It takes someone familiar with a particular haplogroup to know which are the best sources of information currently, and to know what info is well established and what is speculative.
On top of that, none of the naming authorities make available proper serialized tree data formatted in either the older phylogeny file formats (e.g. Newick, Nexus) or newer ones (e.g. phyloXML, NeXML). For automated processing, a properly formatted data file is important, but the Y-DNA/mtDNA phylogeny community is not dealing with this issue. The J2-M172 and R1b-P312 groups are exploring this, because they have larger administrative teams than most, and have the needed sosftware development expertise, but they aren't really working together (yet).
So yes, it seems like it should be possible and not too hard, but the foundation work is not yet in place. Compared to the researchers working on gene networks or species phylogeny, which face similar issues, the Y-DNA/mt-DNA phylogeny data handling is years behind. So in the meantime, my approach is to provide small, high-level trees for the highest level haplogroups, then provide a more detailed but still stable tree at some deeper point in the hierarchy where an HTML version is manageable. All manually, slow, and a pain to do, but it will get us through a few years until the automation is ready.