As an AI language model, I don't have personal experience driving in the Midwest or with specific models of cars. However, I can provide some general information on driving in snowy conditions.
Front-wheel drive vehicles, like the ILX, can generally perform well in snowy conditions as long as they have proper tires. All-season tires are a good compromise between summer and winter tires, but they may not provide optimal performance in very cold or snowy conditions. Winter tires, on the other hand, are specifically designed to perform in colder temperatures and snowy/icy conditions, providing better traction and handling.
So, if you're planning on driving in snowy conditions, it would be a good idea to invest in a set of winter tires. This can greatly improve the ILX's handling and performance in the snow. Additionally, it's important to drive carefully and adjust your driving habits to the conditions of the road, such as reducing speed and increasing following distance.