Let's start with the basics. We've to set something essential to get better results. After you've installed all of those three mods, navigate in to their mod options in game and select MUI.

MUI Settings
You've to close some components from Components menu to prevent crashes and conflicts with WolfHUD. They listed as;

• Chat
  
• Interact

Now for the other settings, they are my personal settings, you can change them whatever you like. If you get unusual layout at the end unlike my screenshot, you should play values to get best results.

• Player[i.imgur.com]
  
• Team[i.imgur.com]
  
• Player & Team[i.imgur.com]

Other settings shouldn't affect compatibility at all, but I'll drop my settings save at the end if you want to get a clean state.

PocoHUD Settings
You can set your PocoHUD settings with Backspace key. Only thing you should enable is Bottom Infobox. Set those settings like this[i.imgur.com]. Don't forget to disable other components because they can stack with WolfHUD and make your game crash. Not all of them, but we can't let it to luck.

WolfHUD Settings
WolfHUD has tons of options, I'll try my best to not miss any kind of important thing, however at the end I've drop my mod saves at the end, you can always use them to get a clean result.

• Untick Use CustomHUD from General HUD Panel Options
  
• Untick Display Killcounter from Killcounter Options
  
• Untick Advanced Assault Banner from Assault Banner Options
  
• Untick Dynamic Damage Indicator from Damage Indicator
  
• Untick Show Enemy Healthbar from Enemy Healthbar
  
• Untick Show Driving HUD from DrivingHUD Options
  
• Player Panel[i.imgur.com]
  
• Teammate Panels[i.imgur.com] and Remaining Options[i.imgur.com]

For TabStats, you can simply disable MUI's Statistics component to use it, however I don't love the default look of Tab and want to use MUI's. I'll do it on this guide like that. Untick Use Tabstats from Tabstats Options.

That's all we can manage to do from in-game, If you try to enter game in this state you'll probably get lots of crashes. We're going to do remaining things with ol' fashioned way.

Go to your PAYDAY 2 installation place. Inside mods there is a folder named WolfHUD. We're going to delete few things to make it work. They listed as;

• KillCounter.lua
  
• EnemyHealthbar.lua
  
• DownCounter.lua
  
• DamageIndicator.lua
  
• AdvAssault.lua

Now we are going to in some advanced stuff. You don't need it, however I highly recommend to use Notepad++ for this tweaks.
Open up TabStats.lua and remove following lines
To prevent crashes. Now lets tweak something else instead of WolfHUD. Go to PocoHUD's file and open up Hud3.lua and search this line
replace it with this

Not it should be work without any flaws. It might be seem complicated, but it's not. Results are glorious and worth your every time to set that up. You need to set all of these things if those mods got updated. For people who wants to skip in-game options, here's my personal ones.

https://pastebin.com/JxKjFdR9
https://pastebin.com/JbjMw4dg
https://pastebin.com/3SzTzgVw

Game ready tweaked files can be get from here[drive.google.com]. Just made it not CTD, it might be seem ugly without any tweaks from Mod Options.

Special thanks to guy who found a way to make PocoHUD aligns with MUI's player panel in this post.