Microsoft's browser experience wasn't anti-competitive in the way that you define it either - they certainly made it harder for other browsers to compete by bundling their browser with their OS (which every OS maker, including Google, does now, and which one can argue was as fundamental a feature as a built-in text editor by 1999 or so), but AFAIK they never made any particular effort to, say, block the websites of competing software companies. Giving away IE for free was the real thing that killed Netscape / led to years of domination until other comparable free alternatives emerged.
Microsoft did, however, use a whole lot of web standards / programming languages that were different from those of other browsers, forcing everyone to go to far more effort to support IE in their websites than to support other browsers like Mozilla / Opera / WebKit / etc, and in this respect I'd say they were very similar to Google. Prior to Android, the three mobile OSes that actually had thriving third-party development scenes - Palm, Windows Mobile, and very late in the game iPhone - were all primarily developed for in native C (or its derivatives), and developers working on more than one platform (like Pleco and thousands of others) generally had nice stable platform-independent code bases in C. Indeed there are some early forum discussions where Google was attacked by members of the Linux community for pushing their own brand new Java-based API instead of embracing / enhancing / mobile-ifying an existing one like Qt or GTK+.
You can argue that Java is better for security / hardware-independence, that it was a sensible design decision even if it did make life harder for developers, but Microsoft made those same sorts of arguments with IE / ActiveX / etc. The fact is that nobody else was using Java, and that having to develop two versions of your cross-platform code, one in Java for Android and one in C for everybody else, is every bit as irritating as having to develop a special IE-only version of your website. It's also worth noting that it's considerably hard to get Java apps running fast on a brand new operating system than apps written in native code, so if Google does succeed in taking over the mobile universe with Android, they'll have made it that much more difficult for another little software company to come along and beat them, or for developers to cross-develop for Android and whatever that newcomer is.
I wouldn't necessarily mind Google taking their time about piracy claims if they eventually did something about them, but when they repeatedly have their attention drawn to a bulletin board the primary purpose of which is clearly to distribute pirated software, and when even after several months that bulletin board continues to pirate software and to run Google advertisements, there's no way to attribute that to simple caution. The problem of course is that most of the companies investing an effort in defending their IP are companies people aren't very sympathetic to - movie studios / record companies / etc - and Google can come off well with the public even if they give them a hard time, but the same copyright laws that protect Mickey Mouse also keep Pleco in business.
That's something I haven't seen many statistics on, actually - incidence of piracy in Android apps. With iPhone there certainly are a lot of pirates by raw numbers, but since the vast majority of iPhones aren't jailbroken, for most iPhone users pirating software isn't a real possibility. We were hit pretty badly by crackers on Windows Mobile a few months after 2.0 came out (seriously, if you look at the charts there are two nearly-vertical lines, a big drop in sales and a big jump in downloads of our crackable free demo software) - not that unexpected, I suppose, we make very expensive software for a user base that's even more exposed to piracy than most people (on account of it's prevalence in China) - and with Android there's a strong likelihood we could end up similarly bludgeoned. I'm certainly not trying to suggest that Android users are naturally more likely to pirate software than iPhone users, only that people who are open to pirating software but not willing to go to the effort of hacking their phone / violating their warranty would have a considerably easier time stealing Pleco on Android than on iPhone.