I don't want to discourage you from the game - I saw lots of people play and love it, and if you do, great.
My experience was that I like Star Trek, but did not like the game much for these reasons:
Combat - well this was going to be a problem regardless, as the TV show combat is not well suited to a game - so anything they came up with was going to have to be pretty different from that - but I just didn't enjoy it that much. I can see where people could get better at it, and there were things to learn, like much in the game they didn't make it that clear.
Obscure gameplay - I found this to probably be the game hardest to get good info on the items and skills and such. You'd get a drop of some item with no idea what it does - and file it away hoping to find out someday. You'd be asked to pick skills for crew members - and have little idea what good choices were. Even just trying to play, you might find yourself entering a zone where you're killed in a couple seconds by a higher level enemy fleet and find it hard to leave.
Some of that is common in MMO's, but I thought it was worse in this one.
I thought they tried on some areas - like ground combat missions - but they didn't seem that fun, either. They did make an effort to make some 'alien' environments, and there's a lot to like in the art and graphics, but even the 'wow this looks great' flying in space gets old soon.
Some things were nice - the missions with the actual cast such as Takei and Nimoy were a highlight.
To your questions - my recollection is that 'physics' didn't seem that much in the design, and if I recall the view was mostly third person but not a problem. It's been years since I played it, so I might not remember all the views or they might have changed.
So, I'd say give it a try and I hope you are one of those who love the game, but I have to say I didn't like it the way I'd like to.
Thanks for the feedback. It's f2p so not much to lose I guess.