Bill Clinton got nothing done after his impeachment, even though it didn't result in his removal from office. He was so toxic Gore kept him out of his campaign.
Also, just because Republicans don't hold 67 Senate seats is no guarantee. A strong enough case could be made to persuade a few Dems to join in, especially if POTUS is abusing power and VP is relatively popular. This is what forced Nixons resignation...he was told several Republicans were going to vote with Democrats, Ford was an acceptable successor. So Nixon admitted defeat and resigned.