swiss turning in minature?

I am working on some small metal working projects related to very
small model aircraft. When I say small projects what I want to
produce is actually the small thing, the project will no doubt end up
being rather large.

Some of the parts I need to produce are very small turned parts,
rollers with accurate diameters and possibly some "crown".

Although I do have a lathe is is neither suitable nor is it CNC.

Anyway, after soom surfing I came accross the process of swiss
turning. These special lathes feature a moving headstock that pushes
the bar material through a special bearing. The cutting tool that
moves in only one axis is located close to this bearing. This means
that the overhang between the bar supporting bearing is constant and
small. That's the basic idea although there is a lot more too it.

My idea that I put forward for a roasting is to build a small desktop
machine on the cheap.

I have a pretty decent linear rail with two carriages, the rail is
nice and wide as are the carriges, the idea is to stick the head
stock on one and the tail stock on the other. The headstock does not
need to be accurate as the accuracy will come from the
bearing "chuck". I think a dremel might even do the trick. The
headstock could then be moved back and forth under stepper control as
could the tail stock. Between the two would be the bearing unit.
Here I need ideas, what sort of bearings? Bushes?

Then there would be a cross slide, another linear rail again under
stepper control. Built solid with absolute minimum over hang.

So, am I daft? Would it be better just to build a normal lathe?

One other thing it has to be on the cheap. I have rails and
leadscrews, steppers and drivers. I don't have decent spindles etc.

Cheers,

Graham