Two of the great characteristics of the Creator is that He is both the Holy One, vastly different from us, and God With Us, wanting to be near us.
The otherness of God is a key theme of the Torah reading אָמַר Emor (“say,” Leviticus 21-24), how God is separate from us, how He called the priesthood to be separate from the rest of Israel in service to Him and how we are to live separate from but near to the rest of the world.
This separation, called “holiness,” is not to be taken as a source of arrogance or pride, but as a lesson to the world that God cares so much about us that He does not want us to live in physical and moral filth and disorder. Rather, Heaven wants us to live in physical and moral cleanliness and order.