If Utah had retained BOTH Sloan and Deron, the Jazz probably would've been the 7th or 8th seed and bounced in the first-round by either San Antonio or LA. Just a week before the Bulls game - the Jazz had that huge win in Denver in which the entire team rallied after the JR Smith incident and Deron&Al began to show signs of chemistry. I think it's likely Utah would've played just well enough to get in. Regardless of the other teams in the west however, the formula the Jazz were using just wasn't good enough to get them past the first-round.
Even when Utah was winning, the burden placed on Deron was far too heavy and by January you could see he was wearing down. They relied on him to orchestrate the offense and create shots for others as well as carry the scoring load - and because the team wasn't talented enough to blow most teams out - all those crunchtime minutes began to add up. Deron's a great, great PG - but relying on him to play a Derrick Rose-role is too much for him.