Constitutional Court as a Last Bastion of Legitimacy in Post-Soviet Countries?

After the collapse of the Soviet Union, most of the newly created states chose this model of constitutional control and established the Constitutional Court. This was a positive moment, as the body exercising constitutional control became a separate, new body which did not have burden of corrupt Soviet court past.
The Constitutional Court of Georgia was established on the basis of the 1995 Constitution of Georgia. It should be said, that during the last 25 years all the authorities in Georgia, as well as in other Post-Soviet countries, indeed have had some temptation to influence, moreover, even abolish the Constitutional Court.
There are some decisions of the Constitutional Court of Georgia, which show that this court has changed from a government oversight body to a government body.
What is needed to restore the shaky image of this court?