Depends on which country I'm in. In most of the English speaking world, as well as most of the EU, Japan, parts of the Middle East. and a few other places, I absolutely feel safe around police. In other parts of the Middle East, most of MesoAmerica, and a few other places? Nope. Not at all. Not that there are not assholes in the first group, and stellar human beings in the second. But as a generality of "the police" as an institution.
I know people look down on comparing "our" police with any other police. But, a) it really is the definition of apples to apples... And b) I have that ingrained. In an emergency? Do you call for police or not? That's my dividing line. If someone is trying to rape/murder you or someone you love; Do you call the police? In this country? Damn straight. In other countries? Many, the answer is hell no. Because a bad situation would be made worse. Period. Not, "not handled how I wanted it handled", or "I got an asshole or bad apple" but made worse as the norm. Shot for being raped is pretty common. So are gang rapes, robbery, assault, even having your damn house torched to burn to death after being assaulted, robbed, and raped. All for having called the police. As. The. Norm. As what is expected. So I look at that, and then I look at our police? Damn straight I make the comparison. Our police may not be able to do anything, and there are a thousand cracks to fall through (from bad apples, to underfunded departments, to less than ideal training, to stupid laws) but at the very least I can count on them to try to help. If there is an emergency? 911 or 999 is a relief. Or "should" be. And it's that "should" be, that people get all up in arms when it isn't... That makes me smile. And trust our system as generally being trustworthy and capable. Because what is expected, is that one is able to trust and feel safe. That's our normal.
ETA...
I have a bit of a quirky relationship with LEOs here in the States...
- I was raped by 3 cops back east (USA). Single event. Pretty violently. Screwdriver through my thigh to pin me to a crate level of violence (Ahhhh. Cop-humor :p Yeah, yeah, they screwed me. But apparently their own tools just weren't good enough.) First time up to bat, with sexual trauma, but I already had combat inspired PTSD. Whee. No idea if that made things better or worse. The having PTSD already, that is. Still makes me a little wary. Especially in small towns. But that's just sense. Once bitten, twice shy. lol & PTSD adds it's own level of polish to that! (Once bitten, bite back harder & first). Not that there aren't assholes in the city, but there tends to be more oversight/ avenues of recourse in cities. If one runs into a single bad officer or dept., there's a whole chain of command lateral to them a few blocks away. And a few more beyond that. Not "We're it" for the next 300 miles radius.
- I've worked with or alongside a lot of LEOs in various aspects of some of my jobs. Overwhelmingly solid, fantastic people. Far less than the usual ratio of pricks per capita, actually.
- I've had personal relationships with many individual LEOs (friends, dated, & extended family). Some of the people I've loved most in my life have been sworn officers. This stemmed originally from being afraid of cops. In this country. Where I don't need to be (according to the way I see & divide the world), and it pissed me off. So I made an effort to get to know some people, as people first, then as their job. To my great benefit.
So I've had both good & bad experiences. Still feel safe. Safer around them than around most other people. And 911/999 are my go to #s if I need assistance.