Any independent suspension system with instant-centers above ground level will ALWAYS let the contact patches come closer together (in the side-to-side direction) as they drop down (i.e. body lifts). It is impossible for it to be otherwise.
If you want an independent suspension design that doesn't cause this and doesn't cause camber change with suspension travel, have a look at the double-trailing-arm suspension of the original air-cooled VW Beetle. If you copy that suspension design, perhaps you can achieve ride and handling characteristics not too different from a 1960's (designed 1930's) air-cooled Beetle. Is that what you are looking for?
Or perhaps you could switch to a solid axle leaf spring front suspension, since with those, even if the instant-center is quite high off the ground, the front wheels will remain the same distance apart and always perpendicular to the ground and always parallel to each other, no matter the bodyshell movement. Do you want to achieve the ride and handling characteristics of a '56 Ford F100?
Sometimes it's too easy to get hung up on something that "seems bad" even though in the grand scheme of things, it doesn't matter.
You need to explain what it is that you are trying to do and perhaps a little of WHY you are trying to do that. Double-wishbone suspension designs are extremely common and widely used. Depending on how you set them up, the ride and handling can be anywhere between '53 Buick and 2009 Formula 1 car.