Hi,
I can develop a magento module which will call your respective API method to add a new customer, whenever a new customer has been created (either from the storefront or from the admin panel). Respective admin settings to add the Webservice (WBS) endpoint and other credentials with an option to turn on or off this feature will also be included in the module. At the end this will be successfully implemented on your development server / Test Magento instance.
BTW am Magento developer plus certified developer so you can rely on me for any kind of Magento tasks and each of these tasks will be implemented following the best coding practices recommended by Magento ECG. . Specifically i've integrated Magento with different ERPs and CRMs like SAP ByD, Unleashed, IBM AS400, so i can get this done as exactly as you've described.
Kindly also let me know your Magento version and edition. Thanks a lot for this great opportunity and looking forward for your response !
Regards,
Jerome