I'm not sure that would work, as last I heard he did not have maneuver nodes unlocked yet.
Also FYI Mechjeb does a lot of things wrong (or not at all optimally), and can teach many bad habits because of this.
Anyhow crash course to going to the mun:
Launch into a 90 degrees east circular orbit, 80-100km up. Fly prograde when the mun rises above kerbin's horizon, watch for an interception with the mun on the map and cut your engines when you have an intercept. About half way to the mun, make a course correction so that you will fly around the mun about 20-30km up. For a fly by you want to decelerate as your craft swings round the moon just enough to send the craft back to kerbin, but not enough to form an orbit around the mun. Once out of the mun's sphere of influence make another course correction to achieve an aerobraking capture. You want the orbit to hook around kerbin, with a periapse of about 20-40km depending on how quickly you are coming in.
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