The way you should react is by re-appraising your suitability for the role and how you presented in the phone interview.
Your assumption that you are perfect for the job and yet didn't get it is a major warning sign for you to take heed of.
The fact is you did something wrong, or did not do something right, or you would have the job. And yet you thought you were perfect.
This means only one thing: your own judgement is lacking.
So instead of getting critical of someone else (the employer) take a hard look at yourself. Play the interview over again in your mind and try to spot where you presented as something less than desirable. My bet would be arrogance, based on your presentation in the question. Take a hard look at yourself, and try to see where that might have crept in. Or something else.
One thing you can do is ask them politely and humbly where you fell short. Be clear that you are not questioning their decision, rather you are looking for insight. Be clear in your own mind that they don't owe you a reply: they might have realised that they need some other experience, that wasn't written in the job spec, and ruled you out because you don't have it. They might not want to share that with you - they don't have to.
But the biggest thing you need to do in "reaction" is get over yourself and your attitude. You got cross with them for rejecting you (as evidenced by your Linked-in disconnection), and that is inappropriate and immature.
Many employers will be looking for people who have a higher level of maturity than that.
In my opinion, based on little information, the most likely reason they didn't proceed with you is that they found something in the way you answered questions didn't fit with their mental model of the type of person they want. The list of "required skills" is only the starting point for an employer: there are many unwritten requirements, which are to do with how the person will fit in.
So don't be upset you didn't get it: there was a good reason. You just may never know what it was. The best you can do is take the feedback you're getting here and have a hard look at yourself in areas you didn't realise you might need work...