The Moon's connection to Earth refers to its gravitational interaction with our planet, which is responsible for maintaining the Moon's orbit around Earth. However, it is highly unlikely for the Moon's connection to Earth to "break" naturally. The gravitational force between Earth and the Moon is quite strong, and it would require an extremely significant event, such as a massive collision, for the Moon to break free from Earth's gravitational pull.
That being said, let's consider a hypothetical scenario where the Moon somehow detaches from its orbit around Earth. If this were to occur, the Moon would no longer be influenced by Earth's gravitational force and would begin to move freely through space. Without any significant external forces acting upon it, the Moon would continue on a path tangential to its previous orbit around Earth.
The Moon drifting into the orbit of Mars is highly improbable. The gravitational influence of Mars is much weaker compared to Earth's gravity, and the Moon's trajectory would likely not intersect with Mars' orbit by chance. Furthermore, the gravitational effects of other celestial bodies in the solar system would also influence the Moon's path, making it difficult for the Moon to end up in a stable orbit around Mars.
In summary, while it is theoretically possible for the Moon to detach from Earth's orbit, the chances of it drifting into the Martian orbiting path are extremely remote.