There's no way a head unit can power a set of BA Pro series, or a reference series component set of any brand. It's not enough power, That power rating for your Alpine deck is a PEAK power rating (60x4, right?), what's important is its RMS rating, which will be around 10-15 watts, not nearly enough to give a high end component set the power they need to perform correctly, you'll probably end up frying the voice coils of your midrange's and the tweeters. Company's list the radio's peak power rating as a marketing gimmick to get you to buy their deck. This is no knock on Alpine, every company out there that sells decks does it. Alpine is all I've ever had in all my car over the past 9 years, they rule in my opinion.
Having said that, your Alpine will be able to run an "entry level" set of components safely. Most, if not all, high end component sets have a minimum rms requirement, typically around 40-50 watts rms. Translation: they NEED an amp to power them, there's no two ways around it.
As a general rule:
When you see a peak power rating for an amp, divide it by 2 to get the amp's rms power output.
For a radio, divide by 4.
Why is it that way? I don't know, but its the way its always been.