Well, Glad to hear you are taking her in for a doctors visit, Good luck.
As for "Gunk" most of our older cars weren't designed to deal with the anti-freeze they have today, I recommend a regular flushing, and I am not 100% but I have seen many comments to the effect when people are complaining about overheating on pre-85 vehicles, Though keep in mind this is also untested by me. Though, I would not be surprised either way if it was true or not. Though I think I will play devils advocate and Say it might be a "Bit" expensive, but in the long run Probably in our best interests as I am sure we don't want to test that theory and find it is true. though, I am sure if you are planning a 4.0 H.O. Upgrade, and need an excuse.
but that's just my 2 cents.