Can I postpone my shipdate from April 22 to end of June?

I am talking about leaving my family financially secured. I am talking about a job making about 35k a month (yes a month) and yes I want to join the NG. And no, I do not care about benefits, I am more about serving and the opportunity and pride to wear the Uniform. All I need is probably an extra month, end of May or later.

SPC (Join to see) your emotions about the ship date will not change the day the class starts, or or what class seats are available for you.
Accusing the liaison of lying because you didn't like the answer is immature and factually incorrect. People who are in the delayed entry program for a year are there because their class will not start for a year. People like linguists and x-ray technicians who's training is a year-long, only has three classes a year, it has to wait almost a year for their class start, those are who spend a year in the delayed entry program.
As I stated, and you pointed out, the liaison told you that you would need to be reprocessed for a different class date. You cannot simply show up to AIT a month or two into the class.

There is a reason why I did not use the word "lie". I chose my words carefully. I actually stated that the "Liaison was not being truthful." I am in no way accusing anyone of lying, I am saying that he somehow left out important facts. I will not call someone a liar especially someone whose job is to help me realize my dream. But I can say that he omitted some facts which could have helped me in my decision to find a suitable shipping date. And for the record, I went to my first drill over a week ago and it was one of the best feeling ever. I simply asked a question, Thank you very much for the answer!

Can I just ask, what sort of job are you work that is paying you 35K a month?

While I get it that you want to leave your family in a secured position, all of that should have played into your decision to enlist knowing when you would be shipping out. I know from going through the process, the recruiter tells you several times your "expected ship date". YOU decided that it was okay. YOU stood on the carpet and raised your right hand. The military isn't a perfect machine, that is true however, when you make the decision YOU have to work on make the plan work.

Let me share one of my stories with you. Back in 2005 my now ex-wife and I found out we were going to have our second child. The doctors told us that the baby was going to be due in July. Around that same time, my unit came down on warning orders to prepare to deploy in support of OIF. I knew my back was against the wall. There was no way that I was going to leave my unit and request to stay on Rear-D; even though it was offered to me. I was one of the few combat veterans in the unit; my knowledge and experience and work as the Operation NCOIC to my company was invaluable to the overall mission success. But I knew going would mean leaving my then wife with two young babies; my son was just entering his terrible twos and of course my new born daughter. But we sat down and made a plan and made the plan worked because WE decided it was the best thing. So in early June, my daughter, Rebecca, entered the world and 3 weeks later I was on the airfield saying my goodbyes. I held my daughter and played with my son all the way until we were ordered onto the aircraft. The goodbye SUCKED and finding out that our deployment was extended from 12 to 18 months shortly after getting into country was even worse. But I knew my family was taken care of. We made a plan and we stuck to it.

Now, hear me out young recruit. I am glad to see you want to serve and that you want to do so while doing the best for your family. However, I would think with a salary of $35,000 a month, you should be able to find just about anything for them as far as a new lease. You should sit down with your family and talked about your ship date. You need to make a plan and follow through.