Ronda Rousey deciding to head to WWE after her MMA career was done would generate mainstream publicity and buzz or a while. In the grand scheme of things, however, I don't think that most of her MMA fanbase would follow. Some probably would, but I don't believe most would. Some MMA fans absolutely despise pro wrestling, though the ones that do seem to be the hardest of hardcore MMA fans. In the minds of those fans, she'd lose any and all credibility.
As far as her staying power, personally, I think she's mostly just something of a fad. She's really well known right now because of a handful of reasons:
1. She's pretty hot in a tough girl sort of way while still being able to clean up enough to slip into some slinky outfit, wear just the right amount of make up and be able to blend in with Hollywood starlets at a red carpet movie premiere.
2. She's the first women's champion in UFC, the biggest MMA organization in the world.
3. She's extremely opinionated and doesn't mind generating some controversy with her opinions. I'd almost call her the female version of Chael Sonnen, but I can't because she's a genuinely talented fighter rather than just a heavily overhyped gasbag.
Right now, Ronda Rousey is the "latest thing" right now. She's not the first female MMA fighter, but she's come along at the right point in time with the right looks along with the right combination of charisma and ability. However, I think that her star will start to fade within the next year or two. Someone else will come along in the sports world or she'll lose some of her mystique when/if she loses her first fight, etc.
While she's obviously a wrestling fan and I'd say she'd have no issue making a few appearances here and there, personally, I don't think she'd be all that interested in pursuing it as a career. She's getting pretty heavily into acting from what I understand. She's set to be in the third Expendables movie, she's gonna be in Fast & Furious 7, she's slated to star in something called Athena Project and is tapped to be one of the lead female roles in the Entourage movie. If she did want to come to WWE, and I might be wrong on this, I have a feeling that she'd want something extremely part time in which she shows up every so often for a match similar to what Brock Lesnar does. As a result, she'd have time off to devote to other projects in between. I'd say it'd definitely rub some of the wrestlers, male or female, in the locker room the wrong way and I'm sure some fans wouldn't care for it either.
If by some remote chance she did wanna be a wrestler full time, whatever changes Ronda Rousey made or didn't make would all be up to whatever Vince McMahon allowed her to. Triple H has an overall much more serious approach to women's wrestling than Vince McMahon does, part of which may come from the fact that Triple H is a wrestler at heart and that gives him a unique POV. If he was given the absolute, 100% final say over what happened as far as the Divas are concerned, there'd be more opportunity for Rousey to make a big impact and help usher in a new way of looking at women's wrestling in WWE. Since that's not likely to happen anytime soon, what Rousey would be used for primarily would be as a special attraction, someone who's name Vince can milk for a while before people lose interest upon seeing that she's not going to be ushering in this new revolution for women in WWE.