I don't believe your comparison is even remotely adequate.
Could you point out an example of a NATO member requesting a military intervention from another NATO member in their own country to respond to protests?
Because what we're seeing here is a blatant attempt by Russia to preserve Kazakhstan's regime by having foreign armed forces intervene against the nation's civilian population.
I doubt OP is _condoning_ the CSTO troops (who are more than just russia) coming to the president's aid.
CSTO is not the same as NATO, but it is similar. There is a strategic alliance between Russia and the government of Kazakhstan. It is more than logical for the president to pull in troops to counteract their own troop's defection.
Its not morally correct, but entirely logical, which I think OP was trying to say.
The US militarily intervened in Europe 75 years ago and has bases in Germany, Italy etc. No need to have military come in for the first time since it is still there.
Italy had NATO violently suppressing protests in Italy for years with Gladio.