Will Kasich take on DeWine? I don't think he will. The whole nuclear option issue isn't enough to beat a sitting senator in a primary.
Will DeWine be the GOP candidate for office in 2006? Yes. For one, he's not a RINO, not even close. Take a quick look at Ontheissues.org
Mike DeWine's RecordRated 0% by NARAL (a pro-choice organization)
Rated 16% by the LCV (pro- environment organization)
Rated 100% by the Christian Coalition (Christian organization, duh)
Rated 100% by CATO (pro- free trade organization)
Rated 0% by the AFL-CIO
The man just helped to make a compromise on a senate rule that a majority of people probably don't understand. That may anger some party activists, but for the average Joe Republican there isn't the same ire. And again it's not like DeWine has a record of being liberal.