You are making apples to oranges comparisons here.
When the US, or its allies, feel their security is threatened, they will intervene. Note that in the case of Afghanistan and Iraq, it was not just the US intervening, but rather coalition forces including the Brits.
As to Israel/Gaza, no US intervention has taken place other than a call for a cease-fire.
If Haiti were to mount a terrorist attack on the US, declare war on the US, or be perceived to acquire weapons of mass destruction to be used against the US..........then and only then would you likely see US/coalition intervention in Haiti.
Otherwise it will be the usual diplomatic efforts and humanitarian aid funding.......which will bear no real fruit until 2121.
Respectfully,
Playacaribe2
Yes, this is true. The threats from Russia and of the whole of the middle east kicking off into war are far more real for the US than lawlessness inside Haiti.