This guide is outdated, since most of the abilities have now changed in Beta.

I don't see the value in a build focussing around the trait and quick fingers. I find that you are either doing lanes/mercs or fighting them. If you do lanes you're reducing the cooldown of your abilities quickly enough anyway to have near constant inspire if you so wish. If you are fighting their team a kill will cast Rewind basically and reset your activated abilities anyway (or enough to chain inspire) and only helps to reset adrenaline rush which you generally have active anyway since you can't activate it yourself barring the lvl 13 trait.
Simply said I think quick fingers sucks and only shaves some seconds of ultimates, you generally are running around or laning and don't need to spam abilities that much, i rather preserve a bit of mana for the important team fights in which quick fingers is often useless. If you are killing you are often winning the fight already anyway and the extra ability doesn't help.

Raynor's strength is his autoattack, he does the most autoattack damage if you factor in inspire, slightly more than valla and tychus. I think boosting that with most talents is the way to go. Seasoned marksman is the way to go for tier 1, your trait and abilities make you want to be in a lane with 2+ heroes and he will be near a lot of kills plus boosting his damage with a good attack speed (inspire again) is great. Increased self healing is mediocre, his heal tends to be ~30% of his hp and can't be controlled so you might not even benefit from this talent much at all. With his low hp pool you are better off letting others heal him which heal far more than this talent increase will do. Demolitionist simply pales in comparison to seasoned marksman which reasonably quickly just gives a near 10% damage increase against everything..
Tier 2 is pretty tough, quick fingers stinks I think like stated above. The other 3 talents all nicely combine with his strength of relying on basic attacks. Increased range and vampiric both help defensively by either letting you sit more in backlines or granting health. If you want something defensive I think it depends on your team which you want, if you have a healer you don't really need vampiric even though it heals nicely given his good damage. It won't really save you from a stun combination though so i don't like it as much. Increased range is fairly decent just getting more basic attacks in easily is pretty huge for raynor and may actually be the best tier 2 talent. Focussed attack is fine too though, having the first normal shot always get 50% more is pretty decent since raynor the highest basic attack in the game given inspire and seasoned marksman. Resets fairly quickly as well, I think you want this or range typically depending on how important range is given their composition. For pubs and compositions without healing vampiric is nice actually. I'm not sure entirely how focussed attack stacks with searing attacks though, if it's multiplicative that is probably the go-to talent.
Tier 3 is easy I think, searing attacks is just too good to pass up here. Raynor is not especially mana hungry since he has one 'passive' and doesn't need to spam his other abilities that much when creeping/laning. Activating it soars him to highest autoattack dps in the game (slightly better than a similarly talented valla). Even for damage against structures it's better than the heavy ammo. Revolution overdrive is alright but conflicts a bit with when you want to cast inspire I think, movement speed buff is nice for chasing, escaping etc but typically you want to cast inspire at the beginning of a fight when you are autoattacking mostly, not moving that much anymore. It isn't bad but searing attacks is just far better and barely broken on raynor.
Tier 4 is quite dependant on the opposition, if they have nukes spell shield is fine since you should be the nuke target of choice for them like most ranged assassins. Activated rush is decent too but once again not really neccesary if you have a healer in team, he can heal you when your health is high enough and when you get low the adrenaline already activates automatically. Art of war conflicts a bit with your positioning, since you are more in the back it's hard to hit many heroes with it and basically becomes a terrible shrink ray, synergizes well with executioner though. Giant killer is always fine if they have multiple tanks. I think it's usually shield or giant killer here depending on if they have a more nuke or sustain oriented build.
Tier 5 executioner is awesome if you can reliably get it active. Arthas and rehgar both synergize immensely well with raynor here and if you have them or both this is the pick I think (and decent team coordination of course). not sure if this stacks additively or multiplicatively with other talents which matters for focussed attack but i assume additively. Otherwise bullseye is just the pick indeed. Executioner when set up well is so awesome on raynor that that really is the pick for sserious teams I think who will seek to take a hero like arthas or rehgar that really enables executioner, especially rehgar with his bloodlust.
Tier 6 is tough again too, hell's angels, bolt and fury are all decent. Fury kinda depends on their composition if you can reliably chain but effectively doubling DPS on a hero that relies on basic attack damage is huge. It doesnt do anything for focussing of course though and group heals kind of neglect it so do plenty of abilities like zombie wall that spawn targets you dont want to hit. If you are reliably hitting 3 heroes though your dps goes insane. Bolt of the storm is always good too though on a hero lacking escapes, especially as squishy as raynor. Most of the times the pick imo because getting that extra chase or escape is huge for him. Hell's angels is fine too if the other 2 aren't good agianst their composition but it isn't the best heroic upgrade, still solid though.

Overall raynor is a slightly bland hero I think with just an insane ranged DPS. Bit similar to valla with less mobility but more durability though and a great teambuff instead of a mediocre aoe spell, which in the teambased meta that this game seems to me makes raynor plain better than valla I think right now. I only see a build focussing on boosting his already impressive dps as viable though, it's nearly as good for pushing anyways and the other talents are not as useful when an ally can heal you far more efficiently.