I have a few suggestions for Mono Psychic, as I tested the type on the ladder for quite a bit. The first thing that comes to mind is your Latios set. If you want to pull DD off, you're better off using Sub DD MLatios or a lure set rather than run standard Latios. Life Orb will deplete your HP because of the lack of Roost. Overall, I feel you shouldn't waste a team slot for something that doesn't do the job well.
Secondly, Claydol. Wtf is Claydol doing in ANY Monotype team? Claydol is absolute garbage, it's a known fact. You have Mew, Latios, Latias, and the superior Spinner in Starmie. Your set is absolute Taunt bait, and with Claydol's horrible Typing, you aren't living much even after a couple of Cosmic Powers. Please, replace this thing immediately. You can use the combination of Mew+Metagross or Mew(SR)+Latios(Defog) if you have trouble with hazards.
Thirdly, Malamar. I tested around with Malamar, and it wasn't really a bad Pokemon per say, but it just isn't a good contender in Mono Psychic. Sure, it packs a punch for Mono Ghost, but it stops there. Sableye burns it, and Ghost+Dark just tramples all over you(Dark will almost always win anyways) So I suggest at least covering your Ghost weakness with Meloetta, a superior stop to Ghost teams. After a +1, your Sub is not breaking unless Aegislash is on the field. Meloetta offers more bulk to your team, relieving stress from Slowbro. Meloetta also stops your Sableye issue, as it can utterly destroy your team after a couple of CMs.
That's all I really have to say, but I will answer with Moveset edits and all later