When a `GET` request is sent `as: :json` in an integration test the test
should use Rack's method override to change to a post request so the
paramters are included in the postdata. Otherwise it will not encode the
parameters correctly for the integration test.

Because integration test sets up it's own middleware,
`Rack::MethodOverride` needs to be included in the integration tests as
well.

`headers ||= {}` was moved so that headers are never nil. They should
default to a hash.

Fixes #26033

[Eileen M. Uchitelle & Aaron Patterson]