Cicero wasn't involved in the murder of Caesar. He was more republican than aristocrat and thus not trusted by the Liberatores. Also he was very anti-Anthony: The Philippics, 14 speeches in 44 and 43 given after the death of Caesar.

Another triumvirate was formed after the death of Caesar with Anthony, Octavian and Lepidus. The proscriptions were from that triumvirate and not just Anthony. Cicero favored Octavian but as future emperor, Octavian favored Octavian. Antony certainly hated Cicero and Octavian didn't find Cicero all that useful and well, that was that.