Should I be concerned about this forecast tomorrow? (going on a road trip)?

Well tomorrow I'm going on a road trip from Nebraska to New York. Starting in Omaha and all though Iowa and most of Illinois the forecast is great, however, in eastern Illinois, and Ohio the forecast is severe storms with a threat for strong winds, large hail, and the possibility of rotation and isolated tornadoes. Then the next day from Toledo to New York the next day the whole area we're driving through has severe weather predictions. Should I be concerned about this at all? Majority of our trip will follow Interstate 80 east.