Socialism is just a political ideology and has nothing to do with what kind of nation we are.
That ideology changes the attitudes of it's people to a hand-out society. This makes it very easy to be controlled, and so you have a perfect situation for evil and death, like : Soviet Union ,NAZI Germany, Red China, Cambodia, North Korea, and so on..
Think I'm being extreme ? All it takes is a few people with an agenda and a crisis, once a socialist structure is in place.
Pick a time and place and you can see the damage to the freedom of man in every socialist government and program.
Pick any, they are not even successful in what they try to accomplish, including keeping costs down.
The people have less choice because of it.
The people become dependent on it
The people are punished for success
No competition destroys productivity
Then, power corrupts
Socialism, it's policies and programs does change our nation by changing people's attitude towards government and their actions in general.
By it's very definition, socialism it is not compatible with the constitution.