Would a digital temperature sensor be less sensitive to voltage swings? Maybe something like this: https://www.sparkfun.com/products/245
Also be sure to connect the ground side of the TMP36 to a separate ground pin on the Arduino, not the same ground pin that is connected to power and/or the servos.If you are already powering the servos form a separate supply, then I suspect it is a common ground wire that is causing the problem.
In an electrical system, a ground loop usually refers to a current, almost always unwanted, in a conductor connecting two points that are supposed to be at the same potential, often ground, but are actually at different potentials.
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