The KLH Model Five has a 6ohm impedance with a low impedance 0f 3.5. It has a sensitivity of 88-89 at 1 watt. Of your three listed integrateds, and given my interpretation of your quest, I believe the Pathos to be the best choice. Another possibility is a Vincent SV 237, also a hybrid integrated.
I have owned the Pathos Classic One MKII and a Vincent SV-226 MKII (smaller brother to the SV236). I believe the more recent Vincent 237 has more punch while the Pathos to be somewhat more refined.
I believe your Yamaha has a Phonostage. The other amps do not. The choice of phonostage and cartridge has much to do with the sonic presentation. If you like the Yammy you might consider making changes there.