Installing a 48A EV charger. Requires 60 amp dual pole breaker.

Want to run to my sub panel, which is a Challenger catalog no. SB20(20-40)CT model no. 4.

Label says to use Challenger type A, type C , HAGF, and GFCB breakers. 
[![box label][1]][1]


Looks like I currently have a mix of type "MM/MH" single and dual pole (type A? These seem to have the side clips) and Type "MP-C" dual pole (back clips). Here's some images:
[![panel with cover off][2]][2]
[![MP-C type breaker][3]][3]
[![type MM/MH breaker][4]][4]
[![MM/MH removed][5]][5]
[![MM/MH type back side][6]][6]

I can't seem to find a dual pole 60 amp type A (side clips) breaker anywhere (max I can find is 50 amp). 

I have an Eaton 60 amp type MP/C dual pole. If I move the one 20 amp down type A breaker down above the other 20 amp type a breaker,  then can I put the dual pole 60 amp type BR/C breaker in the open space? 


Side note: I've read the old challenger type C breakers are a fire hazard (?!) - are these crouse hinds breakers okay, or do they need to be replaced? 

Note: updated with more info and pictures. 


  [1]: https://i.sstatic.net/CnI9g.jpg
  [2]: https://i.sstatic.net/kefWT.jpg
  [3]: https://i.sstatic.net/CzyAc.jpg
  [4]: https://i.sstatic.net/eArTP.jpg
  [5]: https://i.sstatic.net/sx0J3.jpg
  [6]: https://i.sstatic.net/cXHTf.jpg