Separate kwargs of tokenizer and feature_extractor in `ClapProcessor`
# What does this PR do?
Currently, `ClapProcessor` shares kwargs between the tokenizer and the feature extractor. This PR introduces separate kwargs for both of them.

This was discussed in [comments](https://github.com/huggingface/transformers/issues/23648#issuecomment-1557532041) of #23648. 
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## Before submitting
- [ ] This PR fixes a typo or improves the docs (you can dismiss the other checks if that's the case).
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## Who can review?

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Models:

- text models: @ArthurZucker and @younesbelkada
- vision models: @amyeroberts
- speech models: @sanchit-gandhi
- graph models: @clefourrier

Library:

- flax: @sanchit-gandhi
- generate: @gante
- pipelines: @Narsil
- tensorflow: @gante and @Rocketknight1
- tokenizers: @ArthurZucker
- trainer: @sgugger

Integrations:

- deepspeed: HF Trainer/Accelerate: @pacman100
- ray/raytune: @richardliaw, @amogkam

Documentation: @sgugger, @stevhliu and @MKhalusova

HF projects:

- accelerate: [different repo](https://github.com/huggingface/accelerate)
- datasets: [different repo](https://github.com/huggingface/datasets)
- diffusers: [different repo](https://github.com/huggingface/diffusers)
- rust tokenizers: [different repo](https://github.com/huggingface/tokenizers)

Maintained examples (not research project or legacy):

- Flax: @sanchit-gandhi
- PyTorch: @sgugger
- TensorFlow: @Rocketknight1

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@sanchit-gandhi 
The docs for this PR live [here](https://moon-ci-docs.huggingface.co/docs/transformers/pr_24503). All of your documentation changes will be reflected on that endpoint.<|||||>@sanchit-gandhi can we fix both the points discussed in the issue (#23648) (shared kwargs and unexpected padding behaviour) in the same PR or should we have separate PRs?<|||||>Separate PR would be preferable since you can work on each bit in isolation (making it easier for yourself and the reviewer) and merge this one as soon as you have it ready :)