management in academia
This is a good question, but I don't see how anyone other than you can answer it. You write that you "[love] the institution ... [and] do not like the situation I am seeing." You also write that "I am very active on research and I would like to continue in this way." You have to ask yourself (i) whether you have the capacity to address both of these things -- some people do, and (ii) if not, which is more important to you. In other words: Would you be happy 5 years from now knowing that you did the best research possible but that you let your environment fall apart? Would you be happy 5 years from now knowing that you tried your best to make your university run well, at the cost of answering the research questions that drive you? Some people would answer 'yes' to the first question; some 'yes' to the second. No one but you can answer this.