Behind the wall of my living room is the neighbor's shrine. Does this have any effect on my family?

No influence! In other words, there are only good influences, not bad ones. Specifically, where there is a Buddha statue, there is a dragon and heaven method, and there is a positive energy. It's good that you are close to positive energy.

It seems that you don't have much contact with Buddhism, and each has its own karma. When it's okay, it doesn't matter to you that the Buddha statue in your neighbor's house doesn't exist. When there is a problem that cannot be solved by manpower, if you are willing, you may wish to pray in the direction of the neighbor shrine and pray for the blessing of the Buddha.

In a word, the neighbor's offering Buddha is only good for you, not bad.

Note: I have been in contact with Buddhism for many years. Of course, I dare not say "getting started".