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Well, I'm not a Muslim, but I still believe that a person can be a Muslim and not believe all that is written

Muslims don't, and that is what is relevant. If you were a muslim and made that statement, you would be subject to a death sentence. Denying any part of the Quran ("all that is written") is heresy.

I'm not a Christian, but I still believe that a person can be a Christian, and not believe all that is written,

Believing "all that is written" is not a requirement of all sects of Christianity. It is for Islam. Nevertheless, if he doesn't believe in the fundamental dogma of Christianity, a person isn't really a Christian regardless of what he calls himself. "Christian" (or "muslim") is more than just an arbitrary label.

or probably a Jewish person, or a Hindu, etc. It's all interpretation.

If you were to say the words above ("It's all interpretation") in the context of a mutable Quran, in a Muslim country under Sharia law, the punishment would be your death. One of the biggest advantages Islam has is that of people like you, who (quite reasonably) assume Islam is just another belief system. But it isn't.

And, as you say, if you are not a Muslim and are not a Christian, then death awaits you if the Muslims ever take over. Christians are given the opportunity to pay an oppressive tax (Jiziya) and survive as long as they follow certain rules (like don't build churches or mention their religion, act subservient to any nearby Muslim, etc). You, on the other hand, would be a "kafir", and subject to immediate execution unless you convert to Islam. And under Islam, the only part of this that is "subject to interpretation" is the amount of the tax you'll pay if you are Christian, or the method of death if you are a kafir.