Yes, your scion is front wheel drive.
Do yourself a favor and invest in a set of WINTER tires. They are made for snow and ice whereas all seasons are a mixture of all of them, but are not great in one specific road and weather condition.
NO car is going to make you STOP better in the snow and ice. That is on the driver. Slow down, get the correct tires (possibly studded if you are having that much trouble navigating the ice and snow) and take it easy. There are people in alaska, canada, and all over the world that drive in snow and ice for most of the year and they do just fine with civics and any other front wheel drive vehicle. Trick is to learn how to properly and safely navigate the roads for the condition. To be quite honest, if you are sliding into the intersections, you are going way to fast for the conditions you are in, or are treating it like a dry road and not coming to a stop slower than you normally would.
A different car such as an all wheel drive vehicle would get you going better, but like I said, nothing is going to help you stop better (outside of great snow and ice tires), but yourself. Your scion is going to be no different than a Honda in your situation. Sounds like most of it is driver training. You need more time learning the feel of stopping on the ice and slush.