Joint-boss Mark Robson departed the club on Friday, handing complete control to former Holland international Davids, who saw his side trail 2-0 at half-time following goals by Danny Coles and Scot Bennett.
But after a shoulder injury forced Davids off midway through the second half, his replacement Jon Nurse pulled one back before Andy Iro bundled the last-gasp equaliser eight minutes into stoppage time.
"That was a good result," he said. "If it is 2-1 and with more pressure on the opponent, everything is possible.
"We were very lucky and if you look at the chances, we could have been 6-0 down at half-time and I am not exaggerating. They could have really killed us off. We were lucky it was only two.
"It is very good for our morale and for us in the league. There were some good things and I said the last time we won away that I didn't feel we played that well, so I was happy we turned it around.
"In the first half we played very badly and second half we stood up. Mentally, we really mixed them up and I am happy with that progression."