Kazakhstan is part of the Collective Security Treaty Organization (CSTO) similar to Nato which comprises of ex-Soviet countries. I'm sure CSTO has an obligation to help.
This was actually revealed by the center-right government in Italy in 1990, because they were more scared of the US/NATO involvement in Italian domestic affairs, then their own left leaning working class.
The real terrorists are those who are using army against their own population. Neighboring Kyrgyzstan had multiple revolutions, too. And their army did the right thing every time by not getting involved (except the last one when Kremlin played its part).