If you can shoot a 58 to 60 pound bow as well as your 53 pound bow, then by all means do it. I don't agree with some folks who say that an archer can always shoot a lighter weight bow better. Obviously, a lighter poundage bow is easier to draw, but I shoot a 70 pound bow as well as a 45 pound bow if I don't have to shoot lots of arrows in a short period of time. Typically, heavier draw weight bows do not shoot the same arrows lots faster than a lighter draw weight bow; they shoot the same gpp (heavier) arrows at the same speed, which gives better penetration. Your 53 pound bow will give you all the penetration you need for the animals you named. However, there is no such thing as having too much power for killing an animal. There is only too much poundage for the archer to shoot a bow well. It is good to remember that Fred Eichler did the North American Super Slam where he killed all 29 species of animals with a 54 pound Palmer recurve. He does have a long draw length, which helps, but the poundage of his bow shows you have enough in your existing bow for the game you are hunting.
I really like Clay's comments and those of everyone else here. I am only echoing them.
Allan