Warmwxrules;
Having spent 30 years in the frozen north I am a firm believer in the Mooney wall approach. However, if your plaster is good and your siding is bad you might be better off using this method on the exterior. Either way you reduce thermal and acoustic bridging.
Since you are also concerned about noise it might be a good time to look at your windows as well. I ripped out cheap aluminum double panes and replaced them with high end vinyl. I knew they would have thermal benefits but was amazed at the improvement in acoustic insulation. Aluminum is used to make tuning forks. Vinyl is used as sound damping material.
The possible drawback to starting on the outside is that it won't impress the neighbors if you only do one wall at a time.
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