The Los Angeles Chargers signed Kemp, and he would become their starting Quarterback, where he threw for over 3,000 Yards and took them to the inaugural AFL Championship Game. Kemp again took the Chargers (now in San Diego) to the AFL Title Game in 1961, though he would still lose. He would suffer a broken finger, and in a colossal mistake, by Chargers management, he was placed on waivers so that they could make roster moves. Not realizing that other teams noticed, the Buffalo Bills would land him on a $100 waiver (Denver and Dallas also claimed him, but the AFL Commissioner awarded the Bills him), the biggest bargain in professional football occurred.
Kemp, who was an AFL All-Star in 1961 and 1962, would continue that streak the next four years, and in 1964 he would take Buffalo to the AFL Championship, which this time would see Kemp on the winning side. He did it again in 1965, this time earning his second First Team All-Pro and winning the AP MVP Award. He would have to sit out 1968 due to injury but returned in 1969 for his final season, which would see him net his seventh AFL All-Star Selection.
While Kemp is often criticized for throwing far more Interceptions (183) than Touchdown Passes (114), it was not uncommon for that to happen in the 1960s. He also rushed for 40 Touchdowns, a considerable number for a QB, and that can't be ignored.
The bottom line is that it is one of the most successful Quarterbacks of the American Football League, and that means something.After his career, Kemp would become a U.S. Congressman and once run for the Republican nomination for the Presidency in 1988.