Monroe keeps bringing up the fact that the U.S. ain't involved in European affairs, and also won't do anything about remaining European colonies. Nope, nope, nope.

He specifically mentions neutrality in reference to recent "issues" in Spain (17). In several other places, Monroe takes pains to not let Europe forget just how uninvolved America is in their business. It seems like Monroe wants to appease Europe and also prove that he has the right to make these declarations. America hasn't interfered on that side of the Atlantic, now it's time for Europe to do the same.

Neutrality for everyone.

Monroe repeatedly reminds Europe of his country's disinterest:

In the wars of the European powers in matters relating to themselves we have never taken any part, nor does it comport with our policy to do so. (9)

and

With the existing colonies or dependencies of any European power we have not interfered and shall not interfere. (15)

Oh, and the part where he says,

Our policy in regard to Europe […] is, not to interfere in the internal concerns of any of its powers. (21)

American neutrality is part of the framework of the Monroe Doctrine. The president uses it as a justification for American leadership in the western hemisphere, as well as a reason for Europe not to get mad. He doesn't seem to mention the War of 1812 in there, but since that conflict involved America directly it probably doesn't count.

No one remembers that war anyway.