Actually, impeachment does not make a lot of sense unless there is at least a chance of conviction in the Senate. And there is absolutely ZERO chance this Senate would convict Obama, no matter what the charges. Hell, he could be filmed handing over America’s highest classified secrets to al-Queda and the Reid-controlled Senate would not convict him. There is absolutely nothing Obama would or could do for which a Reid-controlled Senate would convict him.
House impeachment is only an indictment.
Removal from office takes a 2/3's vote by the Senate.
Impeachment is the prerogative of the House and it is their DUTY to impeach where warranted, regardless of the prospects for conviction.