The connection houses the brake light switch. If you don't care about your front brake activating your brake light (and rely only on the rear brake to activate the brake light -- I wouldn't recommend not having a brake light at all), simply bypass it and thread the line between the forks. Later model CBs had the brake light switch mounted in the handlebar controls, so you might be able to switch these around if you still want the front brake to activate the light. It's also possible to run two braided lines through the stock 350F light switch...