It depends where you are located and the professionals in your area.

Traditionally chiropractic was very adjustment focused and PT was very exercise focused. Now I don't believe you should be able to tell whether the provider is a a chiro or a PT based on how they treat a patient. They should both be using stretches, exercises, manipulation, soft tissue work, pain science and be working with other professionals as a team to do what is best for each patient.

Of course not every provider treats like this, some chiro's still use adjustments as their only tool and adhere to very outdated philosophies and some PT's rely on nothing but passive therapies such as ice packs and EStim.

Talk to other runners/triathletes/cyclists/athletes in your area and see where they go and if they have been helped with similar issues to your own.

edited to add that rehab and strength & conditioning are just different shades along a spectrum. Rehab should progress from looking like rehab into looking like strength training