Today, with the advent of Shodan or Censys or massscan, etc coupled with unbelievable and unprecedented technology at the consumer's grasp, you can think a system out, but it'll always be hackable. EVERYTHING is hackable. Making a system from what is now (P25 and the likes) which is a pretty decent system into a more complex mechanism and then interfacing all that to the Internet is like overthinking simple transportation with the automobile and adding waaay more fancy crap that can and WILL go out and cost A LOT to repair.
Right, everything is eventually hackable.
The trick is to make it so difficult that it takes an incredible amount of time and resources to do it.
And by that time, someone has rolled the keys and you'd have to start all over from zero.
I can hack an analog radio system way faster than anyone has come close to hacking a digital system.
With how interconnected everything is, all one has to do is hit a fiber cable and it's all done for. All someone has to do is query the database server wrong, open the wrong e-mail, etc and you now wind up in the evening news... Again, introducing more complexity to an otherwise fairly straight forward and robust system is foolish in my opinion.
On a consumer/small business level, absolutely.
On the public safety side, it's a bit more complex than that. Trying to oversimplify the system that you see as a consumer/hobbyists/end user doesn't work when looking at the systems used by higher tier users. You seem to be under the impression that all this operates over the consumer internet. While that is used in places, it's not used as primary for any critical links. The standards used on these networks are probably a lot more robust than you are thinking.
P25 systems already use IP for linking sites. That's been happening for a long time. Alternate links are part of these designs, fiber, microwave, and other means are used.
The agency I work for has multiple fiber connections all taking different paths to different POPs. We have alternate carriers as backup. Redundant router pairs, redundant power systems, redundant links. It's not uncommon for fiber to be impacted by fire, trees down, backhoes, other issues. The design of the systems keeps our end users from even noticing such an issue. It simply goes in the report as "loss of redundancy on link XXX" No one gets their panties in a wad over it because there are multiple levels of backup that are all sized appropriately to take on the lost capacity without any impact to operations.
Can it be broken? Sure, but it takes a lot more than someone opening the wrong e-mail, or tripping over an extension cord. Fortunately we have people that understand how these systems work. They work every day to find weaknesses and address them before they become an issue. And if an issue does happen? They are right there ready to reroute service.