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.

Sorry, but I don't recognize anything in your question that suggests why you would want to take on management duties. What you have sounds like a pretty good situation as you aren't describing any sort of dysfunction.

Realize that you can't do everything. You are probably better off focusing on what you do well and do, primarily, that one thing. It sounds more like you are interested in research, or the institution mostly rewards research. If so, do that, and leave the management to others, whoever they are.

Also be aware that a manager's chief job is to optimize he environment so that other people can do well. It isn't to be a "boss" or to carry out the main work of the organization. It is to enable others to do that. It involves working with people, rather than ideas, and finding compromises that let everyone succeed, not just within the department but within the larger structure as well.

My advice is to discover what you do best and to work into a situation in which you can do that and do it well. Management won't necessarily be any easier or harder than what you do now, but it will probably be very different. Among other things, expect to have much less time available for the research that leads to publication.

By the way, some institutions rotate many of the management positions (especially department head) among the tenured faculty. It isn't necessarily the most efficient system, but it gives everyone, eventually, a better sense of the workings of the organization as a whole.

I used to think that I could do a better job than any of my superiors. Often that was true as I had quite a number of poor administrators. I eventually wound up in a situation when everyone from the president down to my department head was excellent at what they did and was totally supportive of the faculty and students. Over a 45 year career it was a rare occurrence, and it didn't last.