The democrats voted with boner yesterday. They’ll vote for him for speaker if the votes are needed.
It doesn't work that way. The vote for Speaker is not a plurality vote. Boehner must get at least 218 votes to keep the Speakership. Democrats don't have that many votes.
All it will take is for 14 Republicans to vote "present" for Boehner to not reach 218.
If that happens, Boehner can strong-arm some more and take another vote, or he can step aside and let someone else come forward.
-PJ