Combine the first 9 ingredients in a large bowl. Pour vinegar mixture over chicken mixture, and toss gently to coat. Serve at room temperature or chilled. Press into bottom of a 9-inch springform pan coated with cooking spray. To prepare filling, beat cheeses and sour cream at high speed of a mixer until smooth.
Cheesecake is done when the center barely moves when pan is touched.
Cool cheesecake to room temperature. Cover and chill for at least 8 hours. Store summer squash and bell peppers in plastic bags in the refrigerator for up to 7 days. Green beans keep better in an airtight container, so refrigerate them for up to 4 days in a zip-top plastic bag. Because the sugar in corn starts to convert to starch immediately after picking, it's best to use corn the same day you buy it.