I doubt if your VCO has any DC response since it appears to be a high Q device.? Start with a model.? The more detailed the better you should try to show 2nd order effects or higher.? The VCO only needs direction information since amplitude out should not change.? If it does you will need to compensate for it to give you a descent lock in range.? Please note that the LT1128 only has a 50 MHz bandwidth which is probably not high enough for what you are trying to do.