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Hello,Thank you for your service to our country! With the oil milky and not wanting to stay running it sounds like a blown head gasket. Whenever coolant mixes with oil there is usally accelerated wera on the bearings.
If it's a numbers matching car and that's important to you I would have the current engine rebuilt. if numbers matching isn't a big deal I would have a new long block installed.
Let me know if I can help further