Yes I do understand the plate is totally wrong. The car is a Convertible 60 Edsel Ranger with a 352 V-8.
I read the VIN as follows:
0 is for 1960
J is for Los Angeles CA
55 is for 2-DR Sunliner Convert. (Galaxie)
Y is for 8-352 4BBL carb
128655 indicates Production Line Number (which does fit in the values for Ford umbers in 1960, but not with Edsel)
The above information is using FORD VIN decoding, as a J code does not exist in an Edsel VIN. 55Y doesn't exist either for a Body Style.
Continuing with FORD
Body: 73 doesn't exist as it should have included a Alpha character, "73" doesn't exist for Ford either, using Edsel '73' same here as the Ford, so to match the actual car it should have been either as a Ford 76A for Galaxie Convertible or 76B for Sunliner Convertible or as an Edsel 76B 2 dr. Convertible.
Color: C is for Turquoise in Edsel and its for Aquamarine in Ford the car is yes one of those two, at least this bit is probably correct! Yay!
Trim: 47 is in Ford Turquoise, Vinyl which it is, Yay! again another match! doesn't exist in Edsel
Date: 13J indicates 13th day of Sept in Ford and Edsel
Trans.: 3 indicates 2 sp. Fordomatic in Ford or 2 sp Mile-O-Matic in Edsel, it actually is a 2-sp ****** so another match, Yay!
Axle: 3 indicates 3.10:1 Ford & Edsel Yay! the last item matches!