It looks like you would qualify for Invisalign treatment, but a detailed plan needs to be set up from the start so that both you and your dentist have a clear understanding of your goals.
After an exam and x-rays by an experienced Invisalign dentist, he or she can explain the various options for working around the "fake teeth" you mentioned. If they are just single crowns, they can be incorporated into the Invisalign process with no problem. If they are bridges (connected to adjacent teeth), they may need to be removed before Invisalign, and the Invisalign trays can be filled with a material so it looks like a tooth is still present when you smile.
If it is just the space between your front teeth that you are concerned about, you could also consider cosmetic bonding to close that gap without braces or Invisalign.