I have a few thoughts, too:
Going against U, I always expect counters, but in this case his options are limited. If he taps to counter whatever you play, your Phoenix will probably survive - worst case being a 2cmc counter and then the 4cmc exile. If you force a 3cmc counter, he can't bring back the Gearhulk with the Scarab God, so he untaps with 5 power instead of 10.
Which counter is more probable to face? 2cmc creature or 2cmc non-creature? I don't know that. But I'd guess Chandra has a better chance of a) not getting countered at all and b) the counter being > 2cmc.
Syncopate also takes 3 because you'd have 1 mana left to pay if he didn't pay 3 for X=2.
But despite all that, if your spell resolves, you'd much rather have the Glorybringer for 4 damage now and lethal next turn. Chandra does what? She dies next turn anyway if you don't switch to defense and keep the Phoenix as a suicide blocker. So from his PoV, I'd maybe not even counter her, but counter the Glorybringer.
Another thought, that might be under the radar: Abrade kills the Gearhulk because he is an artifact. So you could play it slow, only attack with what you have and when he taps to bring him back, you just kill him again.
In that case he untaps with 5 life
(edit: wrong, should be 2 for he can't block the Scrounger) and 6 mana. He could tap for whatever, do whatever, but I don't see how he would kill you. In that case you just play Glorybringer
(edit: or Chandra or nothing) for the win. If he just passes his turn again, you'd face the same situation minus Abrade plus another card and him at less life.
I think, I like this last option best.
edit2: later
I see that his Vraska's Contempt spoils that plan..
Well, I just don't think you had much of a chance against Contempt + another Gearhulk
edit3: The original edit was stupid
On double-checking I forgot that the Gearhulk would still fetch Fatal Push to remove the Scrounger before it can swing. Good thing most of you are still asleep so I can fix it in time.