I am currently a medic in my last 9 months of Nursing school. I am completing the full school for both disciplines. I have wanted to become an
EMT-P/RN since 2001 after my EMT-I instructor who was an EMT-P/RN motivated me to go for it. I do not know your future goals or direction but here was my pros & con list, see if it will help you:
EMT-P to RN
Pros
Great knowledge basis
Actual patient care experience with critical care
Increased confidence
Better pay while working and going through an AND program
Usually not a waiting list
With your EMT-P you have the option of an online ADN program
Cons
Frustration with the discipline of RN programs
Bridge courses might not cover important aspects of the RN job
Nursing instructor and faculty have no idea the EMT-P scope of practice, they think you are an EMT-B (I get some crazy looks when I tell them my ALS program was attached to an undergraduate degree program through our local school of medicine.)
RN to EMT-P
Pros
Great pay while in medic school
Locally you can do this transition in one semester total
Cons
Possibly not having enough EMS experience before you are on your own without an MD to bail you out.
RN school will not prepare you enough for medic school.
Total time to complete both might be increased due to long waits for nursing programs
Bottom line if your goal is to do both get the course work done. I finished my EMT-I than started on my pre-recs for my ADN. When I finished that I petitioned for ADN clinical portion and used my 2 year wait time to complete medic school and go back to the field. I have been on this road for 10 years. Lots of different paths that will get you to the same place, enjoy the travel and good luck!!