Did you not read any of the other responses? You can't do 1 and 2 together. It's one or the other. Exchange doesn't let you delete correctly, "normal" Gmail doesn't give you push.
I've been using and loving Gmail since the day of 7 invitations per user. But what you've said is not true. Gmail does have a line of ads (no picture) above the inbox.
They even include some SPAM recipes there, in the Spam section, for fun.
Back to the topic, I'd LOVE a Gmail app on my iPhone 4S (will buy it soon)!
You are flat out wrong. The NATIVE app does not have any ads. Take a look at Android, which I did use at one time, and you will see this. We are not talking about the HTML5 browser magic that we currently use but a true app.
Wirelessly posted (Mozilla/5.0 (iPhone; CPU iPhone OS 5_0 like Mac OS X) AppleWebKit/534.46 (KHTML, like Gecko) Version/5.1 Mobile/9A334 Safari/7534.48.3)
Would Be Nice If They Included GCal some how since we can't get ICal and GCal to play nice with iCloud.
iCloud comes with a free @me.com address that you can check easily through the mail app and through icloud.com . You have to go into your icloud setting on your device and enable "mail."
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What I'd really love for Google to make is a reader app. The Mail app takes care of Gmail for me. I'd just like a reader app. Please make that happen!
Doesn't iOS Mail.app have the option to "Continue search on server" if it doesn't find what you're looking for in the local messages? Or does that not work well for some reason? I've used it in the past and it seemed to work (though without the nice gmail search modifiers like label: date: from: etc).