I liked this idea! combining cards with a turn based platformer! It is a good mix of genera that all work together.
So, there are lots you could do to implement better platforming, but that is all documented out there. I thought the pushing my own mechs / other mechs was a little silly, and I was totally confused about which mechs were friendly or not at first. At least change the color of the bad-guy mechs. Or make the good guy ones blue.
Some ideas:
•I wish only one of your team mates was solid, and that you could use them like a block to jump on.
•I wish the different mechs you have could be easily switched between before ending your turn collectively. Along with that instead of stamina for the turn, I wish there was a range that you could travel to so I can position myself carefully
•I wish you leaned a little more toward infiltration / stealth games. with things like line of sight, staying in the shadows, avoiding / disabling sensors, and guards that alert other guards, and finding a good spot to hide for the end of your turn.
•I would love to see your stamina system apply instead of movement, to the actions of your cards. A missile might take 3 stamina, where an energy or shotgun only takes 1. and be able to take more than 1 action per turn.
•I want the mechs to have more different decks / cards available. Preferably pre-mission during a load-out screen.
•I wish you had a little more feedback such as projectiles flying, damage numbers popping up, etc
I say all of this because I like your game. These are suggestions to take or leave - your choice.