Moving master Database to new instance

I have created a new SQL server installation. It had created the default master, model and tempdb databases. Now I would like to bring all my databases from the production environment to this one. However, I also want to ensure that I bring the master, and model databases from my prod environment. So will it be possible to overwrite the master and model databases of the new SQL server installation?

This way I hope I can ensure that I have all of my logins and every other deails intact. Does that make any sense or is there any other better way? Also there are a lot of stored procedures created in master database of the production environment. So dont you think getting this to the new sql installation would be the best way?

Is there anything that may stop me?

Thanks.