What are the different ways I can fix my cross bite with a bridge on my central & lateral incisors (9,10)? (photos)

Let me start with the most important part of your question. Once implants are placed, they will not move, therefore, any orthodontic procedure performed after an implant has to take that
into consideration. So, delay any implant surgery until the end of treatment. Unless the decay is more extensive than I can discern from
the photos, extractions and implants may not be necessary. As far as the temporary crowns (I assume #7 & #8 since they look the worst),
I agree, they do not match the contra-lateral teeth (#9 & #10). Temporary crowns are fabricated chairside,
and depending on the skill and time available to the person making them, they
may or may not match the other teeth.
The good news is that the final crowns are made in a laboratory by a
skilled technician. Assuming that the
records that the lab technician receives are accurate, he or she should be able
to fabricate a very closely matched crown.
Sometimes, the crowns may need to be sent back for adjustments and
modifications to shade (color) and contour. Dentistry is a combination of science and art
and all the skill that comprises both.
Remember, the Mona Lisa was not painted in a day and not every artist is
Da Vinci. Have a conversation with your
dentist about your expectations. I know
that your teeth can and will look great.
Be persistent, but realistic.
Lastly, find a qualified orthodontist or Invisalign certified general
dentist to improve your bite. I would
highly recommend that you correct your cross bite to give you the best possible
aesthetic outcome. This will take time
and patience, but the end result will astound you! Wishing you nothing but the best. 

There is 2 things involved here , the most important thing to do is aesthetics ,if you want to change this , and you request implants , yes they can be done , based on x rays , and there would be a great solution and layout. The crossbite is necessary to have braces for at least 1 year , previous x ray examination by an orthodoncist ,you can conbine both proceedures within the same time frame , get braces , extractions , temporaries , and at the end you can rehabilitate those implants .