Not with this bunch. To them it’s party/ideology that trumps the Constitution.
If we impeach this bass turd, we get the moron veep as POTUS, his entire cabinet and probably contemptuous staff will stay on.
What have we gained? Nothing
If the House impeaches Obama - he is still President. The Senate would never vote to remove Obama so your scenario of Biden assuming control is highly unlikely although even Biden might be preferable to Obama.
Whether Obama stays or goes is not the reason to impeach. The House should hold impeachment hearings to evaluate the evidence. If there is sufficient evidence then the rationale for impeachment is for Congress to do its job - nothing more / nothing less. Yes a spin-off benefit is thhat impeachment is added to Obama’s “accomplishments” in the history books and there is a record of his wrongdoing. But the real motivation should be for Congress to simply adhere to the Constitution.