No - not with Big Apples due to limitations of the seat stays. 2.35" is too large for the Muirwoods. My bike shop mechanic told me you can fit up to 29 X 2.00 tires on it. Its the max possible with balloon tires.
That's one of the reasons I liked in getting a 29er. Its a do-it-all bike and a steel bike that came in under budget for fun was one of the things I wanted. It has potential to be upgraded. Its a practical bike and I'm happy with it.