This shortcoming is likely why the Kirov plant in Leningrad, led by Josef Kotin, developed a design of their own, the a prototype called Object 287.
[1][2] There was no turret in Object 287 - instead, a rotating platform was mounted on the roof of the hull, in the middle part of which there was a hatch for extending the missile launcher.
[1][2] Object 287 was armed with Taifun 9M15 anti-tank guided missiles, which were manually aimed at the target using radio commands.
[1][2] The missile launcher in the combat position was stabilized in two planes, its horizontal guidance angle was 200 degrees.
The ammunition for the two Molniyas consisted of 32 PG-15V HEAT rounds, penetrating roughly 300mm of steel armor under ideal circumstances.
The tank was equipped with a panoramic combined unilluminated sight with an independent aiming line and a field of view stabilized in two planes.
[1][2] The frontal part of the tank hull was represented by a combined armor structure, in which fiberglass was used as a filler.