Do not pump the brakes. Just hold the brake pedal down firmly and let antilock work. A slight brake pedal pulsation might be felt or some noise noticed, but this is normal.
Chevrolet Cobalt Service & Repair Manual. Stabilizer Bar, Replace
Front
1.
Raise and support vehicle, then remove
tire and wheel assemblies.
2.
Remove rear transaxle mount.
3.
On models equipped with soft or
sport suspensions, remove steering gear assembly.
...