A few suggestions...

Make ABSOLUTELY certain that you want to fly (and live, and raise your family) in the US before you invest in FAA flight training. If you decide later that you want to go back to europe, you will need the JAA licenses, which are much more difficult as you must know. It is a LOT easier to convert JAA licenses to FAA licenses than vice-versa. There are a number of JAA schools in the US, so you could still benefit from the lower cost of aviation in the states.

In the US, you don't really need to know any major airline pilots to get into the industry. You do need to know some pilots...but you will meet plenty during your training. Your flight instructors will move on to regionals, then help you get a job at the regional. When you are a regional FO, your captains will move on to the major airlines, and then help you get a job there when the time comes. Every job I've ever had in aviation was a arranged through someone I knew.

Obviously people who tend to p*ss people off a lot don't get far in this industry...