In what ways, if any, does the monroe doctrine address american concerns for peace and safety?

The Monroe Doctrine is an important piece of America's foreign policy in the early 19th century. This established four different conditions for international relations including:

1)  US would remain neutral in European affairs.
2) US would not interfere with European colonies in the Western Hemisphere.
3) No new colonies can be established by European colonies in the Western Hemisphere.
4) Any new attempt to colonize in the Western Hemisphere by a European country would be seen as a hostile attack.

With these conditions, the US is trying to address the issues of peace and safety. Ultimately, the goal of this doctrine is to stop any future conflicts over territory from happening.

From mexican american war , us gained new mexico.

Where is the map? it's not showing