Another option is using .toDateString() function to parse both dates into strings. The function formats output to: “Wed Jul 28 1993.” Then you can compare both date strings.
actualDate.toDateString() === dateToCheck.toDateString()
// returns true if actualDate is same day as dateToCheck
Here’s a Plunker:
http://plnkr.co/edit/J5Dyn78TdDUzX82T0ypA
And more from MDN:
https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Date/toDateString