Having worked with Magento for five years, I understand the nuances and intricacies entailed in file copying, transferring, and migration. As a Mac user myself, having MacOS 14.1.2 and Mamp Pro 6.6.4 installed, I would be glad to employ my expertise to create an accurately mirrored local copy of your Magento 1.5.1.0 website on your Mac. Additionally, I'm well-versed in using SFTP and console access for transferring files securely, which can guarantee the utmost security you seek.
TeamViewer has always been my go-to tool for remote collaborations and I assure you that your project's privacy will be of paramount importance to me throughout our collaboration.
To date, I've successfully completed varied tasks and delivered satisfactory results; from Linux and Windows system support to configuring HTTP servers like Apache and Nginx, my capabilities align precisely with your requirement list.
By entrusting me this project, you'll get seamless multi-point support - from configuring your webserver for Magento installation to ensuring precise duplication of your current setup onto your local system through rigorous testing. I'm confident that with my wealth of experience as a migration expert, diverse skill set in Linux systems, MySQL databases, and my knowledge of data security protocols will ensure a flawless creation of the local copy you need while maintaining confidentiality.