If he got on the LP line, he’d easily get more than the highest pervious vote share (1980 @ 1.06%):
Paul’s supporters were deeply upset by how the libertarian Texas Representative was treated at the Republican National Convention last week. 300 of them joined in a conference call on Sunday night planning to urge Paul to launch a last-minute independent bid for the White House.
In order for Paul to appear on the ballot in all 50 states, he would have to join the Libertarian party’s ticket — either as former New Mexico Gov. Gary Johnson’s running mate or as his replacement. The party’s present vice presidential nominee, Jim Gray, would have to drop out of the race.