Wait: Climb or level flight? AI climb is hard coded. You need 61" and 3000 RPM there. Level flight - they never go faster than max continuous, usually quite a bit lower.
You see, even if they go at max continuous, and you're lagging behind, it takes time for you to catch up even at mil power. we're talking about differences of 5-10 mph. Only judge the AI's power settings once you fly close formation on them.
Your engine shouldn't quit btw, unless you're climbing too steeply and slow and you're overheating the engine. Or you forgot to switch the fuel pump on, or you put the mixture into emergency instead of auto.