As it turns our you have 42% equity and with all the money in the pot you can push even seeing his cards and telling your own, and it would still be +EV pot wise.

Only way I would fold an OESFD is if I think there's a higher flush draw out.

There is probably not a ton of fold equity but its a very close but slightly +ev all in call with the dead money in the pot, so an overpush even with negligable fold equity is still the correct play.

Pokertracker has me up $668 against him.

This is a thing I have been wondering about in my little world of ignorance.

Why do I need to push or fold, if there is no FE out there? If there is no FE on flop, there should be none on the turn either?

Why do I need to commit all my chips, when I actually have the opportunity to wait and gain more info (i.e. what the turn card would be) before I do it?

In this example, if you only would call, and see the turn for another 114, the pot will be 380 approx and you would have 226 behind.

If the board paired on the turn, would you not just check/fold and save 226?

If a blank hits, you would again check/fold since you do not have odds if he would push.
But the odds of you hitting your draw with two cards to come of 42%, has actually changed and is only 30% with just one card to come, which is slighty worse than calling an allin, so it would be correct to fold.

If you hit your flush or straight do you think he would get away from whatever he had, or would you actually be able to get his full stack out of him?

So can somebody explain why I should stick all my chips in there (disregarding image) on the flop, if I could wait and be sure to do it on the turn when I actually know what the turn card was?

1408 hands. Last time we played was August 8th. First time we played was April 10th. We even played a little HU.

P.S. I'm not saying he's bad, just bragging that I'm up against such a tough player.