A few weeks back I bought an awesome Ibanez RG5EX1, and I love it, but today the high E broke and it detuned the other strings because of tension release I think. Anyway, I have restrung plenty of times but since this has a tremolo I am wondering that if the new E isn't the same gauge then will the strings keep detuning some because the pressure on the tremolo won't be as exact. Maybe I'm crazy but I'm just making sure.

it will be fine.

It will be ok, if you do experience any drop or increase in tension just tighten or loosen up the tremolo springs.

Usually new strings in tremolo takes a big while to stay tuned with the other ones.

But if you carefully stretch the new string(s), it will take considerably faster to settle.