I would probably institute a moratorium on construction in much of Chicago's northern, lakeside neighborhoods, in order to reduce congestion while construction was underway.
Raised platforms would be constructed above Clarke Ave. and Lincoln Ave both, containing most likely 1.5 to 2.5 lane-widths for traffic each, perhaps excluding trucks of a certain size (very large?), since it it not practical to lift certain heavy weights up the ramps, and to construct such a burdensome, heavy, thick network of roads. Limiting the number of lanes, as well as southward orientation/positioning, reflective materials, etc. will ensure that light circulates more abundantly, while the form and massing, will also help ensure air, in buildings, and on pedestrian and bike routes in the city is measurably purer over a long period of time, along with the resulting increases in efficiency (such as avoidance of traffic lights for many travelling through, not to the city - again taking away the burden from Lake shore drive, and the burden of pollution from the lake-shore trail, during the time that carbon emissions from cars persist), and proximity of the release of emissions to the emissions' skyward potential of escape.
On and off ramps will branch off either side of these raised ramps, parking may be made available on other raised platforms over minor streets to compensate for spots lost to, "on and off", ie. descent/ascent ramps.
Ramps will curve gradually, in S-form, to ease ingress egress for low vehicles, and promote smooth transitions