In the most controversial episode of South Park, involving Mohammad, did the producers Trey Parker and Matt Stone intend to show the face of Mohommed, or did they cave into network pressures demanded by Comedy Central?
The short answer is no. Below is the long answer. It is also no.
In the South Park episode 200 Tom Cruise and other celebrities ridiculed by the show over the years threaten to file a class action lawsuit against the town unless the town brings them the Prophet Muhammad. The celebrities want to obtain Muhammad's ability to not be ridiculed. Muhammad appears in the episode disguised in a bear suit.
Part of the reason this episode was done is that in 2009 a Danish cartoonist depicted Muhammad in a series of cartoons. Some Muslims find the depiction of Muhammad and the human form idolatry although this was not always the case.
Trey Parker and Matt Stone tried to put an image of Muhammad into the show during the initial uproar but Comedy Central prevented it from happening.
In an interview with Parker and Stone they stated:
The storyline from episode 200 continued into the following episode 201.
The storyline was supposed to have gingers (redheads) and the celebrities fighting over possession of Muhammad who is rescued by the Super Best Friends.
After a warning was issued to Parker and Stone on Revolution Muslim website Comedy Central decided to censor the episode by bleeping all mention of Muhammad. The character was also covered with a large black bar that said "CENSORED."
Trey Parker and Matt Stone then issued the following statement:
According to Parker and Stone they did not cave to pressure, but the network did.
Extending Legion600's great answer
The real insteresting fact is that in 2001, before the danish incident, south park aired its first episode featuring Super Best Friends. Muhammed character was shown all episode long
They make a refference to this in the episode with "Censored" , the main characters say Muhammed was there and it was ok.
Even more interesting, you cannot watch Super Best Friends episode in their website southparkstudios.com .. ;) today, but you could before this polemic 200 episode aired.