As any bowl turner will tell you, you can't make the insider larger than the outside, and in this instance, the diameter of an MT2 taper is larger than the diameter of the female MT1 taper in your lathe. Therefore, the consensus of the previous comments is correct - while it is possible to find converters to mate MT1 with MT2 tapers going in either direction, a converter that allows an MT2 mandrel to attach to an MT1 headstock spindle is going to effectively make the spindle about three inches longer, and losing three inches of bedway length could prevent you from mounting the buffer.
But that then begs the question of whether there is another way to skin this cat. You said that the acrylic buffer has an MT2 mandrel. On some mandrels, the morse taper has a female thread to receive the threaded end of the mandrel rod, and therefore can be unscrewed and removed.
1. You could replace the MT2 taper with an MT1 taper. Finding an MT1 taper with a female thread is not a major challenge (you could use the taper from an old PSI MT1 pen mandrel), but finding an MT1 with a female thread that matches your buffer mandrel could be a problem.
2. If you can't find an MT1 taper with a suitable female thread, another option would be to fabricate a fixing that screws onto the lathe spindle to receive the buffer mandrel. I suspect the CarbaTec lathe has a 3/4x16tpi thread, so you could easily pick up a tap at Ace Hardware (should be in stock) to make a threaded block; then, embed a suitable female 'threaded insert' or 'T-nut' in the block to receive the thread on the buffer mandrel.
3. Another option would be to look into the possibility of having a machinist make an MT1 taper to fit your buffer mandrel.
