Get a Sony DCR-VX2000 and your problem will be solved.
Even though you could add on/off camera lighting, that could interfere with the mood that the performer wants.
The camera you have is good for well lit areas and outdoors but will never make it in poorly lit areas.
Also the 3 ccds of the Sony will give you much better color. The (Advanced HAD) that the Sony has will significantly reduce the noise that you are talking about and give you the low light capabilities that you need.
Expensive? Yes, but if you are going to go pro then it is a must.
Danny Fye
http://www.dannyfye.com