Briggs Vanguard Twin Question

Hey all, first post new guy alert lol. I have a 18hp Vanguard engine I am using as a repower on my walk behind. I have the engine mounted fuel ran etc. My question is how do I set it up to start. My walk behind was originally a pull start and this engine is electric start. I already have a battery, I assume I wire the main + lead to the bottom of the solenoid just like a car. There is a small harness coming off the engine I have a picture of. I just want to hook the on-off to a toggle and starter to a HD push switch. I have searched but cant find a clear answer. Since I like Jacks for schematics and parts I figured you all would be pretty keen on this. Thanks