Entry level positions are less likely to be posted on job sites. Most companies that are looking for entry-level people already have affiliations with universities, recruiters, etc to fill those positions because entry-level people are a dime a dozen. Contact a local tech-services recruiter to find out what you may need to do locally to get in with an SP shop. Begin poking around at local companies in your area to find out who is using SP and see what it takes to get a different, similar entry level position just to get your foot in the door.
As @Paul Sasik said, the numbers are just a tactic to help weed out people who are not serious about it and don't think they have the experience necessary to fulfill a position of that level.
If you want the experience, you have to go out and get it beyond your own qualifications (and DOCUMENT it). The certification is good, but it will only be a talking point. When the interview starts, it's going to come down to your practical experience. "When you built application X listed on your resume, what did you do to overcome limitation Y?" That sort of thing. Get a copy of SharePoint (or access to a copy) using either the free evaluation or the limited support versions. AVOID WSS 2003. Microsoft even admits that it was a complete mistake. Use the 2007 versions or greater because they more closely follow where Microsoft is going with this technology, and those are the skills you will want to possess.
The key is: you don't need a job doing SharePoint to learn and gain experience with SharePoint. You only need a job that will tune your skills in web architecture, software production, etc, and that will provide you access to SharePoint tools (they're expensive, so learning on your own can be a little tricky). Come up with your own projects. Duplicate other projects that you find on the web. Solve problems that have already been solved so that when you're asked how to solve them, you have something a little more anecdotal and "interview-ish" to respond with than, "Well the documentation says to ... "
PS - I personally dislike SharePoint, but I recognize the employment opportunities available to those willing to put in the time and effort to do it. Good luck to you.