As a non-Jew you don’t have to observe kashrut, if you insist, however, please go right ahead. All you have to do is not eat bacon, no milk or meat together for about 2 hours, and don’t eat any fish which don’t have both scales and fins.
Of course, I agree that no non-Jew has to observe kashrut. Most Jews don’t even adhere to kashrut strictly today. However, if one wants to adhere to kashrut, he or she is going to have to use two sets of pots and pans, two sets of flatware, and two sets of dinnerware (I have three sets since I have a special set for Pesach). If meat touches any of the things you use for dairy, that particular thing, if not kashered, renders the food placed on it non-kosher. For example, if I inadvertently allow some dairy to drip into a pan I use for meat, that pan, is then non-kosher and renders all food that touches it, both meat and dairy, non-kosher.
Meat and dairy cannot come into contact with one another, not even molecules. (“Do not boil a kid in its mother’s milk” is repeated three times in the Torah.) We can’t use the same pots and pans, dinnerware, flatware, etc. for dairy that we use for meat and vice versa. (Of course there is kashering, but that’s a LOT of trouble!) You can’t wash dairy pots and pans and flatware and dishes in water used for meat things, and vice versa. I actually have two sinks. This is not required, but it makes things easier.
People who want to keep kashrut must also be careful to buy only foods that are certified kosher. The certifications can mean different things, so it’s best to read the ingredients label thoroughly until you get used to brands, etc. Jews do not eat blood, so any meat must be slaughtered in a way to remove all the blood, etc. (Don’t want to go into that any further, except to say that Jews always slaughter animals in a way that causes them the least pain and suffering.)
And, there’s the problem of eating out. It can be very, very difficult to find a kosher restaurant. “Kosher style” is NOT kosher! It just means it tastes like “Jewish food” or food one would find in a kosher deli.
Keeping kashrut is very valuable to some Jews, and I am one, but keeping kashrut can be very difficult simply because the rest of the world does not!
PS You can combine fish with dairy, and the prohibition of meat with dairy extends to things like cake for dessert, if the cake is made with dairy, and most cakes are. If you’ve eaten meat for dinner, you can’t have cake or pie, etc., made with dairy for dessert, or even coffee with cream unless you wait the specified time between.
Honestly, I don’t know why any non-Jew would want to keep kashrut, but anyone is welcome to do so.
Non-Jews are also welcome at Jewish synagogues, though you might have to obtain a ticket for the major festivals since so many Jews are present then. If you decide to attend a Shabbat service, there will usually be a supply of yarmulke and prayer shawls available outside the sanctuary. If you don’t see them, ask someone.
Depending on the synagogue, there will be a lot of music. Just stand when the others stand and sit when they sit.