If your civilian driver's license is suspended or revoked by the state licensing authority will it have an affect on my government driver's license and ability to drive government vehicles?

Yes, your ability to legally operate a government vehicle is dependent on the fact that you are legally licensed by your state. A government drivers license only signifies that you are qualified (by the government) to operate certain types of vehicles - nothing more. If your state driving privileges are suspended or revoked you may not operate a vehicle with only a government drivers license.