Starting in an ICU is possible. I'm a new grad myself, and I just started in an ICU last week. Some things I have picked up on...
To get hired, I hope you have some medical experience outside of school. I have 10 years as a paramedic behind me. My director, though, said she will look at new grads who were techs, CNA'S, and other hospital positions that expose you to some aspects of the job. She said she just wants to see something outside of nursing school. Even showing initiative and taking relevant continuing ed will get her attention.
Do not rush out and take ACLS. You need to be halfway decent with rhythm interpretation first. ACLS no longer teaches this, but you are tested on it. Take a basic EKG class first unless you have experience with it. If you do know rhythms, however, do get your ACLS.
Of you get an interview with the ICU where you did clinicals, make sure you mention that you were in there. As long as you did well, that will go a long way. They will ask the nurses you worked with what they thought of you. This helped me as much as being a paramedic. I actually did my senior preceptorship in the ICU I'm working in. When I interviewed, they took me on a tour of the unit and some of the nurses I worked with were there and gave me a great recommendation.
Good luck in your job search