The guy may have been doing something inconsiderate but that doesn't change the fact that you drove into the cable.
That being said, the incident happened on private property, so cops won't get involved. The track makes you sign a waiver, so they aren't liable. I really doubt the other guy's insurance would cover it since the other guy didn't drive into you. You could try calling your insurance and attempt to get it covered under uninsured driver, but good luck with that. Most likely they will have you pay your deductible and have it covered under your collision policy.
Put yourself into the other guys shoes. If you were trying to winch your broken car onto your trailer and someone drove into your cable, possibly causing damage to your car, winch and trailer in the process, would you at all consider taking the fault? I wouldn't, I'd be pissed.