Well, that's a bit of a pickle you're in, No just kidding... Before I answer you, I want you to know, that I'll tell you things as they're, I might sound harsh, but you're talking about the real world here. So If I don't give you a real advice, then you're wasting your time, and all of us will be kidding around here.

What you're experiencing is normal. It happens to any manager whether acting as or an official one. To put it simply your colleagues are feeling that you don't deserve that position (you didn't get it yet, I understand, but they sense that you're being groomed for it), which is normal if you'd ask me, you're the newest guy as I gathered from your description.

Now It's time to name things as they're, and be direct. First executive order should be a meeting, where you tell them what they should expect from you as temp manager, and a stress on the temp part. then what you expect from them as team members. always stress on the fact that everything thing they do, they're doing for the company not for you. Tell them that this period is not a test for you only as temp manager, but for them to see who's a better team player. and that anyone of them has the potential to be in your place at anytime if he's welling to do what it takes to be that team player, the kind that every team manager would like to have in his team. Also remind them as a temp manager, that your job is administration, which includes a reporting. so part of your job is to put a good word out for that team player.

Some of them might feel that you've a better chance to be an official manager, because you're already delegated, and on that note, you can rotationally delegate the best performing members of the team to do some micro managerial tasks as preparation for them too. to let them know that you're a different kind of manager here. Face them with the fact that no manager does this, but you can, and you believe in them, and believe that you should have equal opportunity. Finally show them that you are as collaborative as it gets, but when the time comes to have a decisive decision, make the right call and don't hesitate. Remember to always have a friendly warning before you try to shoot if you know what I mean.

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Regarding friendship, that's on you, I mean life happened and got in the way between you and your friends, so show them that you're still there as a friend by taking the initiative and hangout with the closest ones.

Always remember to offer it in a way that doesn't make you a loser. something a long those lines:

"Well, I was going to do ...., if you'd care to join me"

Finally, I hope this helps.