Naturalism is default because people don't want to deal with entities. Choosing the God of the Bible also minimizes the number of entities (or choices) required to account for phenomena.
Once you postulate an entity that can do anything for any reason, you have no motive to look for regularities.
Not true. A rational, logical entity is going to be capable of creating a rational, logical, orderly universe capable of being studied in a rational, logical order. That doesn't preclude him nor does it give any reason to accept the non-creator position by default.
While an entity is capable of doing anything for any reason, when he does, it disrupts the natural, logical, established order that he set up and is immediately recognized. Those things are called miracles.
OK, it’s not proof of anything, but it leads to cool things like digital watches, computers and anesthesia.
No, it isn't. It's merely a philosophical construct with no basis. And belief in a creative entity does not preclude the ability to apply knowledge in the form of technology.
You got that right.
The Catholic church spends a lot of time studying claims for miracles and doesn't seem to find many that are instantly recognized.