Without having the RHCE, it is awfully presumptive to say that it is not very advanced, especially with only ~2 years experience. You will likely find it to be more challenging than you anticipate and it is a requisite for the RHCA track.
Currently, I like both the Linux Professional Institute and Red Hat's certification tracks.
With LPI, I prefer it because it is distribution agnostic and has a good generalist focus. The exam style is well done and would be difficult to get through without having supporting experience. LPIC-1 and LPIC-2 are both well aligned with general Linux system administration. LPIC-3 is the higher-level track, which is more specialist focus. Historically, I have not liked its high weight on LDAP but that is changing somewhat.
The "hands-on" approach with RHCE has a lot of value. Someone who is proficient in Linux but not as experienced may be surprised, as it is specifically designed to weed out people who do not have a good foundation of working knowledge. While you may be able to "figure out" all things eventually, the time limitation will prevent success without an existing proficiency. RHCA is expensive to pursue. It is something I am working on now and is time consuming as well as challenging. The specialist endorsements insure more specific knowledge of the topics they cover. With this, however, there is an unavoidable focus on Red Hat technologies and methods.
There is not a lot of LPIC-3 or RHCA. They both take serious commitment and a working knowledge to successful acquire. Were I to see either of these on a person's resume, I would certainly give it additional attention automatically.
For training, Red Hat has training for their exams. Third parties offer LPI training but you may find it difficult to find training specific to LPIC-3. Additional information is available on both of their Web sites.