The infant savior as a type of Israel

I was re-reading the account of Luke 2. It is an important part of the scriptures, but so common I wondered what I could get out of it that was new. I did have a few thoughts that I hadn't considered before. (although I am certain someone smarter than me has)

In verse 7 it says that Mary "wrapped him in swaddling clothes, and laid him in a manger; because there was no room for them in the inn."

First, swaddling clothes. Infants are born with more freedom than they can handle or find comfortable, so they were put in a type of bondage until they are able to govern themselves.

When Israel was freed from Egypt, they mismanaged their freedom, and felt uncomfortable with their freedom to the point of wanting at times to return to slavery. God gave them the tightly bound law of Moses, until they too were able to govern themselves.

Secondly the manger. Now this might be a bit of a stretch, but Jesus was laid in a vessel prepared for another. He was not in the home of his father, nor was he afforded the temporary lodging (the inn) that was expected.

The people of Israel were taken from the land of their fathers, although they arrived in the land of milk and honey, they were not allowed to stay, but rather made their home in the wilderness, not dissimilar to a large stable, yet God provided for them. Eventually they were given

great and goodly cities, which thou buildedst not,
And houses full of all
good things, which thou filledst not, and wells digged, which thou diggedst not,
vineyards and olive trees, which thou plantedst not;