C182 instructor pilot providing familiarization to a licensed pilot reported the pilot performed an unstable approach in a crosswind and touched down too far down the runway. The pilot's actions to stop the aircraft at the end of the runway caused two blown tires.

Narrative

I was conducting an instructional flight in [an] Organization aircraft for the purpose of familiarizing a licensed Commercial Pilot with the Aircraft X. The Pilot reported being a prior owner of a Aircraft X Type; but was rusty. We briefed per Organization regulations; took off from ZZZ1; and performed air work. Slow flight; steep turns; power off stall; etc. Pilot performed all adequately and within FAA commercial pilot ACS. We proceeded to nearby ZZZ for practice landings. Winds were approximately 12 kts.; left crosswind off Runway 23 by 20-30 degrees; with a gust factor of approximately 10 kts. As this was the Pilot's first landing at this airport; we briefed in the air that we would evaluate our approach and the crosswinds on final and be prepared for a go around. The Pilot acknowledged all.We entered downwind leg; and initially slowed to approach speed; 80 kts.; on downwind. Pilot allowed airspeed to climb to approximately 95 kts. on base turn and descent; apparently distracted with the landing checklist and the unfamiliar field. With coaching; he slowed; applied flaps to 20 degrees; and completed the turn to final. The high airspeed coupled with the wind blew us right of centerline. The Pilot corrected and we were back on centerline by 100 ft. With speed slightly high; approximately 85 kts. the descent rate was appropriate. The Pilot decreased power; and I felt that we were in a position for successful landing.Over the runway and in ground effect; the Pilot reduced power further; but not completely to idle. The Pilot did not activate full flaps; nor did I call for them. We floated; descending slowly; as the Pilot compensated for the gusty left crosswind. We touched down beyond the runway halfway point at approximately 80 kts. Runway XX is just under 3000 ft. long. The Pilot did not reduce the power to idle. He applied brakes gently but unevenly; which caused a pull to the left; so he released them almost immediately. We passed 1000 ft. remaining with roughly 50 kts. of speed. Seeing the end of the runway approaching; the Pilot pulled power fully to idle; raised flaps; and commenced applying firm pressure. I assisted; and we applied sufficient pressure to lock the tires. Just prior to coming to the departure end; we jointly stated out loud that we would turn right; and we applied right rudder (for nose wheel steering); so that the aircraft veered slightly right. The aircraft came to stop on the end of the runway; almost on the taxiway turnoff; with a blown left main and a badly deformed right main. There were no injuries; and no other damage.The problem arose because I was overconfident in the Pilot's abilities; and underconfident in my own. I should have recognized and called for a go around well early upon recognition of the unstabilized approach on final rather than assuming the Pilot could 'save' the landing. I also could have prevented aircraft damage had I called for a go around at the late touchdown point when we still had sufficient speed; rather than waiting for the Pilot to apply proper control technique post-landing. Moreover; had I been more objective in the brief; I would have recognized that I had limited recent experience in Aircraft X; my Pilot had none; and adding the stress of an instructional flight at an unfamiliar airport on a gusty day was not the best course of action.