According to the Wiki article
There is some controversy over whether political ideology informed Flemming Rose’s decision to publish the offending cartoons. Allegations of ties to neo-conservative thought abound, but so far have not been lucidly substantiated. In 2004, he travelled to the USA to visit the Neoconservative Daniel Pipes and subsequently wrote and published a generally positive account of Daniel Pipes, which has been held up as apologetic by certain critics. Rose does not comment on Pipes’s ideology in the profile.
He was certainly providing an echo to Daniel Pipes, when he made this statement.
"About the question of integration and how compatible is the religion of Islam with a modern secular society – how much does an immigrant have to give up and how much does the receiving culture have to compromise."
The paper that published this appears to have refused a similar cartoon about Jesus.
Jyllands-Posten, the Danish newspaper that first published the cartoons of the prophet Muhammad that have caused a storm of protest throughout the Islamic world, refused to run drawings lampooning Jesus Christ, it has emerged today.
The Danish daily turned down the cartoons of Christ three years ago, on the grounds that they could be offensive to readers and were not funny.
In April 2003, Danish illustrator Christoffer Zieler submitted a series of unsolicited cartoons dealing with the resurrection of Christ to Jyllands-Posten.
Zieler received an email back from the paper's Sunday editor, Jens Kaiser, which said: "I don't think Jyllands-Posten's readers will enjoy the drawings. As a matter of fact, I think that they will provoke an outcry. Therefore, I will not use them.