No, that would be a band-aid if that is indeed the problem. I can run everything on my truck from the 4x4's thermal actuator (which takes a bit of juice..), my heater or A/C system, stereo and headlights with no issues.
The compressor should lock up when the clutch is engaged, however, the internal resistance could be higher than it should be. I've experienced that on cars before. It isn't noticeable so much on engines which have some grunt but like others have said, it can be enough to stall the engine in certain scenarios. So try and grab the hub of the compressor (the part which spins when the A/C clutch engages) and spin it by hand. It should spin without too much effort. If you have to reef on it to move it, something within it isn't right.
You can hook an amp clamp up to check what the current draw is, but if you're not blowing fuses or have any homebrew wiring to compensate for that and if the factory voltmeter isn't pegged left due to draw, I'd be inclined to suspect something else.
