They use BNC connectors. I had never seen BNC before in my life but they are still in use today in security systems and readily available at Fry's. They are just an alternative to RCA style plugs and feature a locking mechanism to keep the wires from falling out. There is a female scart to BNC + RCA stereo plug that you can find from Retro Console Accessories on eBay. You can buy BNC to RCA adapter and plug a standard component cable right into the back of it. In fact, the green input will take composite and that's how I play my consoles that I don't have RGB worked out on yet. It takes all kinds of sync and I haven't found anything that gave it any problems. I do not own a sync stripper and I 100% believe that is unnecessary for this BVM.
I love the BVM, I love it death. I too grew up with composite but there is something really special about playing on such a nice display. To me it is similar to playing a rom vs the original cart, there is something special in the presentation that gives the game more life. I have a component video card in the BVM as well so I have been playing Wii, Xbox 360, PS3 on it. You can buy BNC to RCA converter and plug a standard component cable right into the back of it. Being able to play 240p, 480p/i, 720p, and 1080i games, on every generation of console I own, is a very satisfying!