I see the license for the code building the SN website is MIT. Does this mean I could completely fork off the code, and build my own project with it (even going completely away from the SN project, just taking advantage of the website structure so I don't have to start from scratch)?

Yes it does! Fork away.

Asking because I never made my own website. Also to take advantage of the core functionalities using the LN and paying with sats. Don't want to leech of @k00b's hard work, so prefer asking before proceeding.