AKo - When is it MY turn to push?

[Beachman42]

Live hand from Sahara's 7:00 PM $42+20 MTT. 89 runners & we are in the first hour. The tourney starts with a staggering 5,000 chips if you immediately take the rebuy and 25/25 starting blinds. We are in L3 (100/50) and Hero has ~4,000 chips & is 3rd or so as 50% of the table has yet to re-buy.

The Sahara's week day MTTs are local rock gardens. My image has also been tight. I have shown down JJ as an overpair and AQs on a busted FD when villian checked to me. I seriously doubt that anyone has been paying that much attention to anything other than their own cards.

My question - how does the relative strenght of AK grow (or diminish?) as more players push pf?

The hand:

EP (short stack of <1,200 & the only LAG at the table) open pushes for the 3rd time in 5-6 hands. He has been doing this very light since being crippled earlier.

MP1 - Pushes (to iso? I don't think he knew what an isolation play was) with ~2,500.

LP - Pushes for T3,500. He was "Mr. pot odds" as he always told the table how to get good odds and play!

Hero (button) looks down at AKo and insta-pushes.

I feel very confident that my play was correct since the table was very readable AND I was getting about 2.5 to 1 odds. However, at what point does the value of 2 big cards diminish? I think at some point, JTs becomes a better hand in this (very unlikely) situation. I've never been in a 4 way AI pf in a live MTT before and was curious as to the changing hand strength of AK. Is there a point where folding is the correct option?