If you are getting a sketch feeling from your PARTY, it's only the other ppl in your party that can vote kick you not the other alliances, then just don't lot on anything until combat with the next boss has been initiated, then open the next chest immediately after the boss has been defeated. Rinse and repeat through dungeon.
Yeah but it was just out of the blue, there was no way for me to know that they wanted me gone, it was just *pop* gone.

It's only 7 people, so not that long of a list, and I'm pretty sure they can see what players hit yes on the vote dismiss function. Just report the group (3 people dungeons/7 people raids) and tell them that the majority of them kicked wrongly and let the GMs go from there.

Also include what time you got in the instance, what time you were booted from the instance, and possibly anything that was said between you and them (Gives them something better to look for), or amongst themselves if anything seemed a bit off.
I did do that, but they told me they couldn't go without a name, which looking through other people's complaints, GMs /have/ worked without names before.