[compiler][be] Move e2e tests to BabelPlugin transformer (#32706)

Clean up jest-e2e setup since
https://github.com/facebook/react/pull/32663 and other features need
program context (e.g. changing imports)
---
[//]: # (BEGIN SAPLING FOOTER)
Stack created with [Sapling](https://sapling-scm.com). Best reviewed
with [ReviewStack](https://reviewstack.dev/facebook/react/pull/32706).
* #32663
* __->__ #32706