This thread can go on, and has, for pages, months, years, etc. Those advocating going for 2 first can talk all they want about math being on their side (it's not) or that NFL coaches are coaching to not get fired (to a large extent they are). But at the end of the day, virutally all coaches and an overwhelming majority of people here agree that you kick the extra point first. This doesnt mean that side of the argument is right either but the case for going for 2 first is not anywhere near compelling as people seem to believe.
Two of the fundamental things I disagee with:
1) I think people are failing to take into account the importance of possessions. An 8 pt game means that you have the CHANCE to win on ONE possession. Yes, you have to convert the 2pt conversion but you still have the CHANCE to tie on ONE possession, which kicking off with 7 minutes left very well me be all that you get. I agree that the odds of converting the 2pter are the same no matter when you go for it but to go for 2 first means that you are taking a more than 50% risk that you won't have the CHANCE to tie the game with one possession. And down 15 with less than half of the 4th quarter remaining, all you can ask for is a chance since you are already digging out of a hole. This leads to the 2nd point.
2) I think people are significantly overstating how differently teams will play down by 8 or 9. If it's under 7:00 in a ball game I am trying to score as quickly as possible and get stops as quickly as possible. PERIOD. I don't buy at all that teams will take significantly more time to score in this situation of they are down 8 as opposed to 9. If you want to have a conversation about teams being down 8 should be playing more aggressively and looking to score more quickly then fine. But that's another discussion and I don't sense that's the case.