Replying to Utah trip advice

So like mid March me and a couple other guys are planning a trip to drive from Wisconsin to Utah to ski and I’m wondering if anyone has any advice. Right now we are planning on leaving Friday, going to Brighton Sunday, snowbird Monday, and then head back. We mainly ski park in Wisconsin but we wanna ski some real stuff on this trip. The car we are taking there is only 2 wheel drive and I’ve read that for some roads you either need 4wd or chains if there is a storm. Will this be an issue? Any advice would be appreciated, thanks!