Namaskaram, The demands of wisdom teeth are extravagant. Whether its in terms of space, maintenance or treatment. Hence, broken or not it is sensible to get them extracted. Today wisdom teeth extractions are done under 3 layered anesthesia, which makes the procedure bearable. Post extraction pain is a result of wearing of the anesthesia, which comes in 'Different Strokes, For Different Folks. The pain may radiate to different areas like jaw, neck and sometimes the TMJ. Dental professionals today have Laser procedures which are painless and ephemeral, which may help with the intermittent pain. Nothing to worry about. Your wisdom will persist even without them. Team Shambhala.

Your joints would be more relieved after extraction. Consult a MaxilloFacial Surgeon.

At present remove the  tooth which is paining, as   mouth opening for a long  time may give u tmj pain.  Get d other one extracted after 3weeks.

Since there’s a history of TMJ pain, long time mouth opening can be tedious for u so it’s better u go for one tooth extraction at a time. You can plan extraction of both at a gap of 1-2 week.