I think hologram dstahl would eventually win. At some point Android dstahl will decay into mush and he'll wish he could transfer his brain into a hologram. Although, he could always rebuild himself.
I'll have to think about that one.
Here's a further wrinkle: Hologram DStahl could just reach inside the android and mess something vital up - but Android DStahl only has to mess up the mobile emitter. Maybe the fight wouldn't last that long after all, unless you agreed to fight like gentlemen.
The answer is obviously clear: when Chuck Norris was invited to the Cryptic offices to play STO for the first time he opened a inter-dimensional rift after he round-house kicked in ecstasy from the thrill and joy of playing such a great game. This dimensional rift created a gateway between our world and the mirror universe, hence allowing mirror dstahl and others to exchange places with our dimension's versions. When they do this is when our versions sleep; but this is also when angry dstahl pops up on the forums and posts his rants at the QQing 12 year olds.
The rift is now a continuous portal through the dimensions, and in honor of Chuck's impressive feat they created the Captain's Table design that we see near ESD and Qo'nos.