If you can set the Tyros 2 drum track to output just midi notes, (A drum track is just a sequence track for drums) then by using a VST such as Battery 3, you will be able to have better quality drum samples that will match to the styles. (The Tyros 2 controls the sounds of the VST as if it was an internal drum kit)
If it can, then there will be no problems mixing them together. (Just connect the audio output of the computer to one of the line in of the Tyros 2)
BTW Does the Tyros 2 have Midi Sound Banks? If so use one of these patches to replace the internal drum kit.
Hope this helps

Bill