Petition to impeach Obama on We The People government website and the official response to it.

[link to petitions.whitehouse.gov (secure)]

The petition itself which you can view at the link above reached a total of
49,890 signatures.

Even though a Federal Court has found President Obama guilty of violating the constitution their response states:

"The President has deep respect and appreciation for the Constitution -- he studied it in law school, he taught students about its principles as a professor, and as a lawmaker and now as President, he's carried out its precepts."

"So the short answer is that we won't be calling for the President's impeachment -- and given the fact that you made your appeal to the White House itself, we doubt you were holding your breath waiting for our support."
Interesting response and even more interesting that they are willing to respond to the public with such disrespectful overtones.

While they may have issued the statement prior to the court's decision, I'm sure they are well aware when the president violates the constitution.

Impeachment process:
Similar to the British system, Article One of the United States Constitution gives the House of Representatives the sole power of impeachment and the Senate the sole power to try impeachments. Unlike the British system, impeachment is only the first of two stages, and conviction requires a two thirds vote.

The impeachment process is a two-step procedure. The House of Representatives must first pass, by a simple majority of those present and voting, articles of impeachment, which constitute the formal allegation or allegations. Upon their passage, the defendant has been "impeached". Next, the Senate tries the accused. In the case of the impeachment of a president, the Chief Justice of the United States presides over the proceedings. For the impeachment of any other official, the Constitution is silent on who shall preside, suggesting that this role falls to the Senate's usual presiding officer. This may include the impeachment of the vice president, although legal theories suggest that allowing a defendant to be the judge in his own case would be a blatant conflict of interest. If the Vice President did not preside over an impeachment (of anyone besides the President), the duties would fall to the President pro tempore of the Senate.
To convict the accused, a two-thirds majority of the senators present is required. Conviction automatically removes the defendant from office. Following conviction, the Senate may vote to further punish the individual by barring him from holding future federal office, elected or appointed. Conviction by the Senate does not bar criminal prosecution. Even after an accused has left office, it is possible to impeach to disqualify the person from future office or from certain emoluments of his prior office (such as a pension). If there is no charge for which a two-thirds majority of the senators present vote "guilty", the defendant is acquitted and no punishment is imposed.

[link to en.wikipedia.org]