Answer: No, they seem to be against restricting immigration.
Explanation: The artist makes a point of showing that it is the mayflower and the Indians. This is because the Europeans themselves were immigrants and without them, we wouldn't have the United States of America. When the Indians see the mayflower approaching, they make the remark "Well there goes the neighborhood". They are saying that now that the Europeans are there, the "neighborhood" is ruined. The other replies "Plus more unemployment, more welfare, and they talk funny" These are common things people say about immigrants coming into America. This cartoon is meant to point out how hypocritical this mentality is.