We live in a 1985 two-story home at the top of a mountain in New Hampshire.  Very windy and cold in the winter.  The house exterior consists of plywood sheathing, Tyvek, and 1 inch foam sheeting with T1-11 plywood on the second floor and stucco on the first floor.  The house is warm and seems to be well insulated.  We want to put Certainteed vinyl siding on the entire house and have received conflicting advice from various installers on the need to remove both the T1-11 and the stucco.  Any experience with a set-up like this would be appreciated.  Thanks in advance.  Dan