Appropriate to use Kanban?

Hello.  In reading books about Lean and Agile and DevOps they often refer to manufacturing type situations where work needs to go across the plant through a series of processes and assembly lines.  

I work in IT Infrastructure, but I think my situation is similar to a factory in that we have work that comes in (through tickets) that we then need to perform quickly and with high quality so that our customers (software development teams) can proceed with their work.  The tickets are for things like database administration, ordering and configuring new servers (virtual and physical), network requests (firewall, routing, load balancers), and Middleware and Cloud services.  

Today the teams are set up as silos with each department handling their requests independently using different processes and SLAs.  Most of the time the application teams need a bundle of requests to be done together.  For example, to build a new application they will likely need new servers, network, database and middleware work and today they need to create a bunch of tickets and wait, and they often get inconsistent results which require re-work.  

I'd like to bring people who can do these things together into a team to work together to fulfill these types of requests.  We can't do scrum since we don't have a product with a backlog that we can iterate against.  I also want them to get to know the application teams and to work closely with them instead of just sitting in their cubes waiting for tickets, especially given that tickets are often not the best way to communicate what's needed and why.  

Do you think Kanban is a good fit for this situation?

Also, if so, do you have any good books to recommend on Kanban for me to read as a manager?  I have plenty of books on Agile and Scrum but nothing on Kanban yet.