Umm...Thesis? I would seriously not drop Exiled from this if you want to invest in warriors (in which case that should be three Reinforcement). It's still the easiest one-card answer this thing can kick out against Heraklinos or any other given big beater. Also...two Destiny Draw when there's only one card you really want to discard for it (we only ever want to draw one Malicious, srsly) is NG. If you want Destiny Draw in there, you need more D-Hero too. Personally, I'm not too wild about Twin-Headed here since this deck has no way to search it out bar Sangan. Also, Foolish Burial when we already have Malicious overtaxed with trying to fuel those Destiny Draws and Frog is our only other viable option? Eh. xO
That being said, though, the point on synchros remains. If you don't have any, you can expect to get hammered by those who have. Monarch control thrives on stealing monsters from your opponent; I don't see any reason not to throw in another venue to put what you steal to good use. If you don't have synchros and tuners to use, though, then it obviously can't be helped. So here ya' go; a non-tuner fix. Just be warned; you would better off with the synchros.
Anywho, another way to go about this:
-1 Defense Draw
-2 Forced Back
-1 Marshmallon
-2 Mobius the Frost Monarch
-1 Montage Dragon
-1 Pot of Avarice
-2 Sakuretsu Armor
-1 Shield Crush
-1 Swords of Revealing Light
-1 Twin-Headed Behemoth
-2 Zaborg the Thunder Monarch
+2 Compulsory Evacuation Device/Phoenix Wing Wind Blast
+1 Cyber Dragon
+2 D.D. Crow
+2 Enemy Controller
+2 Prime Material Dragon
+3 Reinforcement of the Army
+3 Spell Striker
So...cuts first. Defense Draw and Montage Dragon just made me go 'WTF'. No matter how hard I look, I just can't see your reasoning behind including them in the first place. The same goes for Shield Crush; this is a slow control deck, so your opponent will most likely be trying to swing over you most of the time, and when they don't, you should be stealing away their monsters or blowing them up with monarchs anyway. Crush just doesn't seem to have a place here. The same goes for Pot of Avarice. You're really not loading the graveyard up with monsters in any big way, so it's just liable to end up as a dead draw in a situation where you really needed to have answer. I would also suggest giving Twin-Headed the axe. Sure, it comes back after it's destroyed so you can tribute it, but it's also a free gladiator tag-out before that happens and you have no recruiters to fetch it. If you used some form of wind or dragon toolbox then sure, but on it's own..? I don't think so. :\ Would also suggest dropping Marshmallon for similar reasons, as it - unlike reaper - can be stolen and used as your opponent's tribute fodder. Your monarch lineup also needs to be trimmed down. Yes, they're your win condition, but they are also a big pile of monsters all crying for tributes and liable to mess up your draws badly. Zaborg is just an inferior Caius these days and Mobius is highly unlikely to ever hit two cards than won't be chained in its face, so drop those. The better monarchs should still be enough for what you intend to do and, as Thesis already mentioned, there's another one-tribute monster that would help this deck a lot more. Finally, I'd suggest cutting swords out of this since wanton effect destruction is still rampant so it won't live long. Dark Armed and Lightsworn have a lot less trouble with the backrow than the waning gladiators do. Suggest cutting Sakuretsu for the same reason. Not only does it leave ample opportunity for S/Ts to be played before it can trigger, we now also have to factor in Stardust Dragon, who can just negate it on a whim too. Much the same reasons that Mirror Force sees so little play these days too.
So yeah, basically my idea would be to focus on a warrior lineup, which you would have easy access to thanks to the newly unlimited Reinforcement. Spell Striker is very nice here, as it just screams 'free tribute fodder'. You are not doing anything with your spell cards once you put them in the yard, so you are completely free to pitch one away for this little guy and then trade it for a monarch to smash your opponent's face with. If you searched that striker with Reinforcement, all the better; that means it's already ready to go for that same reinforcement you fetched it with. Depending on the situation, you might also want to use your striker as fodder for Enemy Controller to steal a big attacker and swing for game, or - hey, it might just happen - just use it to attack directly and deliver the most humiliating finisher blow since Rescue Cat. XD And speaking of Enemy Controller, it's a chainable defensive option and combos magnificently with Treeborn Frog and Sangan for more monster theft, so I'd strongly recommend it. Effect destruction is still big in this format, so since you can't hide behind Stardust, Prime Material is also your friend. Its anti-burn effect will also ensure that any rogue burn decks you might run into will have a much harder time right off the bat. D.D. Crow is there because the top decks right now all still rely on the graveyard, a lot, so if you want to play control you'll have to have some way to fight those graveyard recursion mechanics and Crow is still the number one option on that front. Finally, you'll want something in your deck that synchros really don't like. Sure, Forced Back stops monarchs, but aside from the occasional Caius from Teleport Dark Armed, you really won't be seeing any. Compulsory, on the other hand, can spin your opponents painstakingly summoned synchros right back into their extra deck. You can also use it to clear Heraklinos off the field, put Malicious back in your opponent's hand, or chain it to Dark Armed Dragon's destruction effect (ideally, one targeting your Evacuation Device to begin with) to leave your opponent with a dead Dark Armed in hand and their precious dark count messed up. Phoenix Wing is better against non-synchro/-fusion targets as it also costs your opponent their next draw, but it also costs you an in-hand card, so you'll have to decide whether you want to go down that route or not.
As for siding...well, just in case Little City makes a surprise entrance, you'll probably want to pack some form of extra S/T removal to counteract Skill Drain and Royal Oppression. Nobleman of Extermination is also a fun card, as you can use it to bait out Solemn Judgment (and half your opponent's life points) or, if the targeted card is Solemn, get rid of all copies of your opponent's strongest negation card for the rest of the duel. Both very appealing prospects. And speaking of Solemn, that's another solid choice. It negates nearly everything, which is a huge boon for control type approaches. Beyond that...I'd have to think more. Side decks were never my strong suit. :x