as explained and stressed over and over again by carl saagan, he has been fusing science and god since the first day. heres a simple explanation in layman's term.

String Theory is one of the many theories created trying to unify general relativity and quantum mechanics, 2 set of physics law that govern the universe. Universe don't run on 2 set of laws, and the laws of general relativity and quantum mechanics clashes.

IMO,

We do not really know if these extra dimension do actually exist because we can't see them. They could be fabrication of String Theory itself. If say you were given a dozen balls with different characteristic and 3 container to put them into(following a set of rules), then you realize there's a few balls that don't go into 3 of these container, you would put them into other container and mark these container as 'xyz character balls'.

4th dimension, aka time is easily accepted by us because we have something to measure time long before it became the 4th dimension. If you've read the time travel thread you'll notice that value of time only works on earth because they're value we created to reflect and make sense of the unknown in time. What time looks like exactly? Nobody actually knows.

As for God's existence in between the 5th and 11th dimension. I have my own thought but I am not going to comment. Religious people will get offended by my comments

I don't believe God exist, even in the invisible extra dimensions.

God is created long ago to explain the unexplained. Religion was the first step in trying to explain 'Gods' power. Science is a evolution from religion to explain 'Gods' power. More like an improvement rather than exist to clash with religion.

The extra dimensions in String Theory are created to explain the unexplained, that's why some theory has 26 dimension and so on. We do not know the definite answer. String theory isn't the only theory trying to explain the theory of everything(where the 4 fundamental force of the universe can be united) but it's among the most popular one. We might still be wrong at the end of days. Centuries of people believed earth is the center of the universe, we believed gravity was as how newton described it.

A theory for everything is a very good prospect because it opens up an entire new field of science where general relativity + quantum mechanics are unified.

i do not agree with you that god does not exist.
he exist in our heads and he is the primary driving force for human evolution.
there is a place in your head where you are driven to believe in a higher power and that the higher power will help you.

it exist somewhere in your hypothalamus and it enforces the human will and endurance to believe in the impossible.

so without god. human kind will be no where near string theory.