Unless that beach ice black ice patches. Then you can have an H1 Hummer for all I care. Your ass is going to slide the moment you press that brake.
Hitting brake in that kind of condition shows that someone is a pretty bad driver rather than anything. I drove civic for 6 years, all over in all kind of condition never got stuck never lost control. I drive forester now and even less reason to get in trouble with the car. Most winter accidents happen because the drivers didn't account for weather condition and how it will affect their car performance rather than anything. So if someone is a bad driver I suggest staying home as there is no car that will correct your mistakes, and lack of skills.
Good winter tires are always a plus rather than no "season" tires. Nokian all weather tires are one of the best tires money can buy.