As someone who has a lot of business interests in the Middle East and especially Jordan I think that you will find that the Jordanians hate what ISIS/IS/??? are doing.
They might have some internal tribal rivalries but they are united in wanting to keep their relatively liberal society out of the hands of the likes of IS/ISIS.
There is also a lot of belief that if IS attaches Jordan then Israel will see that as a direct threat to them and join in to fight alongside the Anti-IS fighters.
My friends in Kuwait are divided about 'would this be a good thing or not?'.
On one hand Yes because Israel are helping the Liberal Muslims fight the extremists
On the other hand, No because this is a conflict that is mostly Muslim on Muslim.
If you are commenting from the relative safety of the US then until you have lived and travelled around the Region as I have for the past 20+ years you can't even begin to understand how complex it is in terms of relationships etc.
As much as I would like to see it, I don't think you'll ever see Isreal 'fighting beside' Muslims.
Isreal will do whatever it feels like doing to expand it's borders and, secondarily, defend itself. Helping Muslims will not factor into it.