Run 12v Incandescent Bulbs off Fluorescent Ballast
In a word, "No."

A hot 12 volt, 10 watt incandescent lamp looks like about 14.4 ohms and, when it's cold, about 1.5 ohms.

The fluorescent ballast initially generates a high voltage to break over what looks like an infinite impedance in the lamp, and then once current starts to flow through the lamp and its impedance drops drastically, it limits the current through the lamp until the mains voltage goes through zero volts, extinguishing the lamp.

Once the voltage goes through zero, its amplitude starts to increase, starting the cycle anew.

So, with only the incandescent lamp resistance across it, the ballast can only go into current-limiting mode and won't be able to generate enough voltage to drive the incandescent lamp properly.

EDIT

In a word, "Yes." 

The device is an electronic transformer with a 12 volt, 30 kHz output, and is designed to feed a halogen (incandescent) load of from 50 to 150 watts.

The trouble you're having is because you're asking it to drive a 10 watt load.