It won't work, the feature set offered by different payment processors differs too much to capture in one consistent API. Even Stripe itself already offers 3 or 4 different ways to integrate with them.
What you want already exists though, and it's called a payment orchestrator. They integrate with different payment providers and provide you one API. You pay for that by getting a much smaller feature set.
What you want already exists though, and it's called a payment orchestrator. They integrate with different payment providers and provide you one API. You pay for that by getting a much smaller feature set.