The 400m between 2000m and 2400m was run in 64.5 and Dibaba now had a small lead with Obiri, Klosterhalfen, Hassan and Muir the only likely challengers.
With five laps remaining, the serious racing began.
Meanwhile Doyle - in the final after being upgraded in the semi-final following disqualifications - took her first individual world medal.
"I've finished fourth, sixth and seventh in world finals before so to win two medals this time around is awesome; it is about time", Muir told BBC Sport.
On Friday Danish Joachim Olsen, who won shot put bronze in 2006 will receive his silver medal, while German Ralf Bartels, who was also promoted to silver having won bronze at the 2010 championships in Doha will receive his medal on Saturday. Approaching the final turn, the deficit narrowed to a matter of metres but Dibaba gritted her teeth again and kept the pursuers at bay with a final circuit of 30.46 seconds. "I'm very happy to be indoor champion for the third time".
"It was a tactical race and I controlled all the competitors". Germany's Mateusz Przybylko claimed a bronze with 2.29m.
As he continues his comeback from ankle and groin surgery, Rutherford has made a decision to miss the global event to regain full fitness ahead of the European Championships in Berlin in August.
Due to her final year university commitments, Muir could only travel down to Birmingham on the Wednesday, a task made hard by unseasonal snow and sub-zero temperatures which immobilized large parts of the British transport system.More news: Watch Shaquem Griffin run blistering 40-yard dash
She was forced to get a £1500 taxi from Scotland to Birmingham on Wednesday after her flights were cancelled due to the snow.
"I had to send a few emails saying: 'I've got a big competition coming up, is it OK if I have a couple of days?' They were fine about it".
The 24-year-old took up the early running as Dibaba made a poor start but it was Dibaba who stretched her legs with a well timed surge and the Ethiopian ultimately produced a quite exceptional final 1500m to romp to gold, with the Ethiopian-born Dutch runner, Sifan Hassan, bustling out Muir on the line to snatch silver.
Like Dibaba, Hassan and Muir, Houlihan will also be back in action tomorrow evening in the 1500m heats.
"The 2014 Commonwealth Games was an insight into just how well Scotland can play host to worldwide sporting events, and I am sure that Glasgow 2019 will be another step forward in cementing Scotland's status as a first-class deliverer of world-class sporting events".
Genzebe Dibaba of Ethiopia won a thrilling race to claim her third successive world indoor 3000m title as Laura Muir took the bronze.
"My performance from the British championships to the Indoor Grand Prix in Glasgow at the weekend showed improvement but it was still not at the level I demand of myself", the 31-year-old said in a statement.