From a maths point of view, you would be shoving effective stack of 5000 into a pot of 1275.
If they fold more than 5000/(5000+1275) = 80% of time, then you will automatically make a profit on this in the long run.
If they"re only calling your shove with QQ,KK,AA,AK then they"re calling with about 3% of possible cards. So doing the maths they need to be raising at least
3 / (1- 0.80) = 15% of their cards for them to fold 80% of time.
Above is a bit techincal but it leads to the conclusion that if the button reraiser is reraising lighter than 15% (which according to your read he could be) you could probably shove on him profitably.
The trouble is this does not consider the cut-off raiser. And also I know this a winner take all tournament but getting them to fold will only add 1275 to your stack, and if they do call you"re behind more often than not.
I think I would still fold, and look for a post flop opportunity rather than get all in now in a rather marginal situation.