Mixer LO Input port impedance is never constant regarding to higher LO amplitude. To define input impedance of a mixer is never easy. Because input transistors work under large signal condition and input impedance will vary with the amplitude . Essentially conjugate matching is almost impossible.
Instead of this , I suggest you to use Buffer Amplifier to drive LO port of the Mixer. By using that , isolation between LO and Mixer LO port will be high to prevent disturbing the LO that will create Phase Noise ( it's very very important !!)
Look RFMD web site for a LO Buffer Amplifier.( as I remember it has 50dB isolation , means that S12=very small smth..)