I don’t know a team full of right footed players or left footed.
Depends on the role. You can have two CBs who the same favourite feet but not two WBs.
On midfield the situation is different. Try to look the european top teams midfields:
Chelsea: Kantè right foot, Matic left foot.
City: Fernando right foot, Yaya right foot, Silva left foot.
Spurs: Dier right foot, Wanyama right foot, Dembele left foot.
United: Herrera right foot, Pogba both, Carrick both, the armenian both.
Real Madrid: Isco right, Modric both, Kroos both, Casemiro right foot.
Barça: Iniesta both, Sergi right foot, Rakitic right foot.
Atletico Madrid: Saul left, Koke right, Gabi right.
The only three teams who play with players with the same favourite foot are BVB, Juventus and Bayern, but the players are all right foot players, not left. I never seen a couple of left foot players on the pitch.