I think everybody's ideal is to have an internist or family practice doc who knows you well personally as well as medically, and where you can call or come in anytime if you have a concern. For various reasons this has become elusive.
Based on what I have seen, three trends are growing. The first is the Doc-in-a-Box or, more likely, a PA in a pharmacy.
The second is concierge medicine in which, for a modest annual fee, you have unlimited contact - 24/7 - with your generalist.
The third is generalist docs who will not accept insurance but who charge modest fees and will offer a bill that you can send for your own reimbursement, if any. They can charge modest fees because they do not need to hire a large back office staff for coding and billing.
It's a good idea to have a generalist who knows you and your family. With ObamaCare, I think all three of these modes will grow in popularity, especially the last one. They are all working mostly outside the system. They are not likely to want to make time to see you, however, unless they have met you (except for the PA in a box trend).
Generalist physicians, whether Family Practice, Internal Medicine, or whatever, are the ultimate docs. They see everything, major and minor, and know when to refer. People who want to use their Medicare and Medicaid are going to have a tough time with office visits in the future.
I had always aspired to be a country doc, a generalist, in the New Hampshire countryside, but became too fascinated with what I now do. I had dreams of fixing broken arms, stitching up nasty cuts, treating poison ivy, delivering babies, consoling the terminal, sending appendicitis patients to a surgeon friend, etc. It's kind of funny, but my generalist friends tell me that half of their work is Psychiatry anyway.
With the training I had, I suspect that I could still do those country doc things pretty well, but my malpractice insurance does not cover it. In my training, I caught 42 babies. Some were dangerous and complicated. As I have admitted here in the past, I refused to participate in abortions not because I am so religious but because I did not want it in my memory.
Primum non nocere.