Aright, time to bring a few things back to the past so we can understand the arguments against the future.
1)people did not believe the 'horseless' carriage' (car) would ever make it to common use.
2)people did not believe the airplane would ever make it to common use.
3)people did not believe that the aircraft carrier would be considered a replacement for the battleship (which it currently pretty much is)
4)IT WAS BELIEVED THAT STEALTH TECHNOLOGY ON AIRPLANES COULD NOT WORK... and then it did.
Does anyone see a trend here. In each of these situations, there were PLENTY of reasons why these technologies could not be feasible. Innovations changed the answer.
If an airplane can fly out of the sun to make it harder to shoot at, why not have fighters that (with proper technological assistance) look to instruments like solar winds, asteroids, and such... Heat signature issues were overcome for airplanes, so why not space fighters? We are ASSUMING that every explosive reaction is massively exothermic. This is simply not true. As a very simple example, add salt to diet coke. The ENTIRE assumption that you could not have a stealth fighter is built on the flawed assumption that future propultion must not only operate on the basis of 'pushing' with an explosive reaction, but that said explosive reaction must also be proportionately exothermic with today's rockets. This ignores the possibility of ionic/magnetic and other drives that do not operate on the principle of 'burn something real hot on the back in a closed space'. It also assumes the fighters will not be, say, left in an asteroid belt looking like space junk until they fire up engines (or just fire weapons). It also assumes the fighter does not redirect, refract, or leave echoes to fool the tracking. At that range, being the slightest bit off target would cause a miss. For a weapon to be accurate at such distances would require it to be able to be quickly and effectively calibrated for motions smaller than anything our current tech allows. Point is, we ASSUME you fire a laser half way across a solar system, it hits on target and the beam has not dispersed too much to do damage. We also ASSUME that the fighter has no countermeasures to fool this targeting system, misdirect it, or otherwise blind it.
Also, heat is not light. Heat does not transfer well through the cold of space and is unlikely to be directly detectable, and even if it were, would be too far out of date to use as targeting. It is not unreasonable to assume that light can be prevented from shining directly towards a known target if the thrusters are pointing away from it, even if it meant a big dopey looking 'skirt' around the whole ship or some other such measure. Light travels in a straight line by default, is reflected when it strikes matter, and bent (slightly) by gravity. There is not enough particle density in the void of space to refract that light sufficiently to give away a fighter's position.
Now, plasma weapons:Glorified high tech version of a HEAP round of ammunition. Will it be worth it for us to fire something physical in a plasma state at a target? Will rounds be used to impact a target AND administer massive temperature at the same time? Youbetcha, already doing it.
Mass Drivers/Rail guns:Well I can ask, but I don't think 'eel be very keen... you see... eez already got one. Yes, that's right, we have rail guns. They're big, they're bulky, they're experimental. The big problem is power and size, same as military lasers.
Military lasers:We use them as part of what missile defense we have. They're also power hogs, but instant targeting is very useful for shooting down missiles.
Back to 'plasma weapons':anything worth flinging at the opponent is worth flinging at them superheated. The idea is heat something REAL hot then fling it at them rail gun style. Will it be in the 'plasma' state? Probably not. Will there be some kind of 'molten something launcher' at least experimented heavily with? Probably if we find vastly more efficient means of energy production and storage. Probably not if we do not.
In summary, Stealth:not a write off by FAR, at least not within a solar system. You do need to hide in front of, behind, or near SOMETHING so in the depths of space between solar systems, you're much more likely to get busted. Oh, and due to range, ACTIVE scanning is almost impossible unless you already have a location to search. This is due to dispersion rate and sheer distance and thus the sheer energy needed to get a 'reflection' back.
Lasers, mass drivers:High energy weapons, each has advantages and disadvantages.
Missiles:self guiding, definitely useful, though since they basically fly straight at you, they are easy to scan for, detect, and therefore likely shoot down with lasers easily. Changing this turns them into give or take the very drones we're discussing.
plasma weapons:Unknown whether they will pan out in the traditional definition. Due to extreme low temperatures in space and lack of combustibles, I would presume incendiary and high temperature projectiles would be FAR better suited for use within an atmosphere.
Now ALL of this can change, drastically, when/if some new innovation comes that changes the whole equation. As for the light speed barrier, teleportation, and all of that kind of fantastical technobabble...
As I understand, through the wonders of quantum entaglement, a beam of light was 'teleported' a short distance. While Albert Einstein is perhaps my greatest childhood hero, it would appear that God DOES in fact play dice. The rules regarding maximum speed travelled are not followed by quantum particles, and light, being both particulate and pure energy at once is it's own slippery beast. It is inaccurate to say it is impossible to break the speed of light. It is more accurate to say that as far as we know, it is somewhere between inordinately difficult and inordinately improbable. Breaking light speed is then, perhaps, not so much a matter of IF we can do it, but on what SCALE we can do it, under what circumnstances, and how reliably. Finding those answers leads one to the labyrinth of string theory and perhaps beyond. This does NOT mean it's impossible, just ... very hard or very improbable in scale and with precision.