I have no problem stopping with the toe brakes. I can usually touch down on the second runway stripe and have it fully stopped two, maybe three stripes later (400-600 feet).
You definitely want to be a lot slower on short final - 61 knots is a typical “over the fence” speed for a 172SP. As you roundout your approach into the flare, make sure you smoothly reduce the throttle to idle. Use the elevator to hold it a foot or so off the runway until it simply can no longer fly and it will settle nicely onto the runway at a very low speed - 45-50 knots or so. You might get a stall warning just as it touches down - this is actually desirable.
Some folks, especially if they’re new, have trouble with the juggling of selecting a proper aimpoint, managing the glidepath with a combination of pitch and power, and transitioning to the roundout and flare. This is normal, but it can be overcome with the right practice.
Outside of technique, there are other things that can affect landing roll - headwind component, prescribed landing speed (which can be affected by weight), condition of the brakes, slope of the runway, condition of the runway, runway surface, obstacles, and density altitude.
There are also visual illusions which can mess with your perception of your approach and make you do funky things.
10 degrees of flaps (not %) can be used up to 110 knots indicated - this is not marked on the airspeed indicator (ASI) itself. 20° and 30° flaps cannot be used until below 85 knots, which is the top of the white arc in the ASI.
Bottom line: If you come in too fast or have too high of a descent rate, you’re going to balloon, float, etc - there will be too much lift and too much speed remaining and your brakes will not be as effective as they will if you touchdown at a more minimal speed. If you’re not using flaps, you’ll be fast and shallow and your landing roll will suffer.
Bottom line 2: your control bindings might be conflicting