Its good you know how to glide toss and attack properly.
With Ike, you *must* play defensively. Getting in offensive will just get you killed. Remember Ike doesnt have any projectiles, so use that to your advantage. If you're going to attack with float (With Dair or Bair), it needs to be quick and smooth. The reason being is because Ike has plenty of deadly attacks that have hitboxes that pass well above his head (F-Smash, Utilt, U Smash) and will whack you far, or probably kill you if they connect. When using Dair, keep floating and Dairing so that you can force him to shield. You can fit about 2 and a half Dairs in a full float, which is a lot of space for shield eating.
Also you need to shieldgrab a lot more. Try running up to his face and shielding instantly, and then go for a grab. In general you just need to play more defensively. Shield + Spotdodge will save your life.
Even having said that, Peach has some glaring advantages. You've used the turnips well and i saw some good glidetosses so that was good. Remember you can glide toss upwards as well to create a few mindgames. When Ike is off the stage, throw turnips to kill his second jump, then punish his Up+B with Toad and you've already knocked off one stock. Ike's are extremely vunerable to Peach's edgeguarding skills. If you can force him to Up + B onto the ledge, the chances are you can Toad his face, if you time it right. And since his second jump is gone, and he wont have time to Forward + B back again, he'll simply drop to his death.