I would create a separate glossary for each of the 4 doctors.
Your active Glossary list should show these 4 doctors' glossaries and in each of these glossaries you should have your DocQscribe glossary included. You could even consider to move up the included DocQscribe glossary in the Edit Includes window to first position so your standard abbreviations would always be the first ones to appear in the Phrase advisory.
When you type for Dr. A you would use Dr. A's glossary as the current glossary. You are more likely to want to manually add words and phrases to this glossary while you are typing for him/her and Alt= always opens the Add window of the current glossary.
If you feel a word or phrase is more common to all 4 doctors, the new entry should be added to your DocQscribe glossary. Then you will have it available in all your doctors' glossaries, but only need to add it once.