Three Bridges scored in the first and last minutes but found it difficult to overcome a side who had only gained one point from their previous eight games and who are struggling to avoid relegation.
Bridges started on fire, Tony Garrod having a shot blocked inside the first 30 seconds before he won a good challenge and laid the ball off to Lee Carney.
The ball bobbled around in the hone goal before Allan Tait drove the visitors in front.
Ramsgate keeper Nick Shaw was the only thing between Bridges and a comfortable lead inside the first ten minutes, his best save being to block a Sam MacVicar shot following a delicious pass by Hakeem Adekakun.
But Bridges’ defence then became as generous as that of Ramsgate as Tom Chapman set up Macca Murray for an 11th minute equaliser.
Twice Bridges survived goalmouth scrambles, but with both attacks misfiring and both defences looking uncomfortable, it was difficult to see which way this game would go.
Ramsgate had a chance to go ahead after 24 minutes when a cross ended with John Lansdale handling, but Kieron Thorp pushed away Murray’s spot kick, and soon after Nathan Crabb struck the crossbar after racing clear.
Ben Godfrey somehow managed to get booked before he’d even come on, guilty of being in the way of someone trying to take a throw on, and after Shaw had blocked another Crabb effort.
Ramsgate went ahead five minutes before the interval with a cross by Chapman sailing over a stranded Thorp that had even the home supporters recognising a fluke.
Tait missed a golden chance in the opening minutes of the second half and also shot just wide of the far post, but after 55 minutes Matt Whitehead’s cross was nodded down by MacVicar for Crabb to scramble home.
Bridges now looked likely to take control as Tait came close again, but on the hour a cross by the dangerous Aaron Quain was finally nudged in by James Sherman as Bridges defence was caught cold.
Five minutes later it was the turn of Bridges to fail from a penalty after Crabb was felled by Shaw, but Lansdale’s effort hit the post!
Garrod had another effort blocked and a mad scramble at the other end somehow eluded Murray.
A string of bookings for the home side also saw Lansdale receive a second yellow following an 89th minute altercation with Jamie Taylor, but Bridges continued to search for an equaliser and Garrod saw yet another effort pushed wide by Shaw.
But five minutes into the six of added time, MacVicar and Lee Carney combined to set up Godfrey, who netted with an excellent strike to salvage a point.
But this was not a game for the purists and Bridges will need to be much sharper when they host Guernsey this weekend which kicks-off at 12.45pm.
Bridges: Thorp, Lansdale, Whitehead, Crellin, Dynan, Adelakun (Donaghey 53), Crabb (Godfrey 75), Carney, Tait, MacVicar, Garrod. Unused subs: Peauroux, Pulling.
Aerotron Man of the Match: Martin Dynan