Mace Windu picked a team that he had worked with on other occasions during the war. However, the ROTS Visual Dictionary points out that Mace likely would have chosen Obi-Wan Kenobi, Qui-Gon Jinn, and Yoda if they were available.
However, any Jedi other than him and Yoda are literally fodder for Sidious. The situation, the environment, and Sidious being Sidious would have resulted in the same event if he had brought anybody else that was not Yoda.
This team would not work well at all.
Qui Gon Jinn and Yoda both uses Ataru, which require great space, but the office is too small for 5 people to fight, especially they could not hurt others. It would greatly limit their moves. Not enough space was one of the reasons Qui Gon got killed by Maul. Obi Wan's Soresu is only good for defense, so it would not help much either when the other 3 could not form efficient attack against Sidious due to the space.
Windu could take a fight with Sidious, so he should come forward and protect the others, gave them time to retreat and counterattack, they were a team, not going 1 by 1.