Blackpool had endured a narrow defeat and two goalless draws since Paul Ince took charge last month, but Broadfoot rose to head home Neal Eardley's 74th-minute corner and grab a share of the spoils.
Birmingham had appeared on their way to three precious points thanks to a similar unmarked header by Davies from Chris Burke's first-half corner - the defender's sixth goal of the campaign and fourth in two seasons against the visitors.
All in all it was a largely forgettable encounter played out in front of the lowest league crowd of the season at St Andrew's, 13,562, although Blues will class it as two points dropped following some glaring misses from Nikola Zigic and in particular Wade Elliott, three minutes from time, while Peter Lovenkrands hit the inside of a post.
Tom Ince, playing under his father, found the side netting with just over a minute on the clock as both sides looked to stamp their authority on the game.
The England Under-21 international was looking particularly lively and was only denied by a great last-ditch tackle by Hitch Hancox, before Davies cleared off the line and then Jack Butland got behind a solid strike from the corner of the area.
Lovenkrands missed the home side's best chance just after the half-hour mark, latching on to Zigic's flick to beat keeper Matt Gilks only to see his effort roll across the face of goal.
Butland dropped a deep cross but redeemed himself by producing a great reflex save to keep out Gary Taylor-Fletcher, before Matt Phillips drilled narrowly wide from distance.
But then just as it appeared to be goalless heading into the break, Davies found plenty of space to get on the end of Burke's deep corner and give Blues the perfect half-time tonic.
Zigic blazed over a great chance to double City's advantage within minutes of the restart after Gilks had dropped Hancox's long free-kick.
Birmingham then came within inches of a second as Lovenkrands latched on to Paul Caddis' ball forward and checked before firing off a shot which hit the inside of a post, rolled across the line and out.
However, Broadfoot nodded home from Eardley's corner to peg Birmingham back, and the hosts could have won it in the 87th minute when substitute Elliott somehow blazed well over the bar with the goal at his mercy from Burke's low cross.