Camber, caster and wheels...

 I have a simple question seeking for answer…
Suppose we have a miata already with camber, caster and toe alignment done… and we want to change our tires with others for racing in circuit(just for fun) Do we have to make a new camber caster alignments?
I mean when ever we just change wheels/tires the camber/ caster alignments goes off and we have to fix them again or not?

 I don’t see why you’d have to.
You might want to depending on tyres, track, etc to improve the handling maybe.

Provided the replacement wheel/tyre combination has the same diameter, then the geometry will be unchanged. There are sites around which give the diameter of various wheel/tyre combinations.