In a hard-fought contest, George Lebese completed a brace in optional time to snipe the points after Bongani Ndulula drew first blood at Moses Mabhida Stadium.
Baxter said: "I thought the first half was poor, our defending was not good enough. We played some nice football and created some nice chances but we didn't take them.
"But I think in the second half we dominated and were braver. Our centre-backs held a tighter line and engaged their frontline players better.
"I thought we would only get a point but we kept on playing. Fortune favours the brave."