The direct answer to you question is no, a Redding insert will not fit in the Dillon die.
If you look at page 19 on the Redding catalog the part you referenced in the Amazon link, 9183, fits in a Redding seating die and is not a complete seating die and will not work in the Dillon seating die. You can replace the entire Dillon seating die with a Redding seating die.
Dillon sells the Redding micrometer seating die.