As long as the earth-sun orbit stays close to 1 au, then ejecting the moon into it's own solar orbit wouldn't necessarily be world ending. There would probably be some aquatic life extinctions from the loss of tides, and some nocturnal species might be affected by the change in light levels.
The sun diameter is 1.4 million kilometers, and the earth-moon orbital radius is 0.38 million kilometers. So trying stick the sun between the earth and moon at the current orbital radius just makes the sun 1/333000th more massive.
The moon has monthly cycles. When the moon isn't visible, it's because it has died. But in just a few days, it will revive like the mighty Phoenix and be visible again. This is known as a "new moon" because it's not the same moon you saw last month.
That's why the moon can eclipse the sun when we're also all the same distance apart. Crazy coincidence, but undeniable given this educational material.