Big L is the party - and yeah, it's just Republicans in a different T-shirt.
Little l is the ideology, which in many ways matches up with what I think, but to get there you need so many social programs to put people on even ground that we should have but don't. Universal healthcare being only one of so, so, so many.
Edit: And just to add, I think Rand was just a precursor to the Big L Libertarians, and little to nothing to do with the little l. You can have true individual liberty without the protections and support to enable those liberties.