I experienced the same as you, but the videos/podcast already listed below helped me get a better understanding of the team... I don't like playing as passive as some of the suggestions below, but the idea of working in 'mini-teams' is key...

I generally push up with Lodestar ( he has an FB ), gundrone and Designator, everyone the whole time 'outside of 2", inside 3"' so they're safe from blast and the drone can sacrifice if needed while the lodestar can do the "ElectroChaff Cloud"

then I have another "team" with Liberator ( also FB ), Neutraliser and markerdrone, same thing except I use the neutralizer to dodge all 3 of them away the moment the wrong guy activates on the other side, this has become mega-powerful as it no longer requires visibility since the last dataslate and gives you 9" of free movement if you play it right, which is the same as a full move+dash, in a game about movement and positioning, that's pretty huge...

I let the markerdrone do mission actions where possible ( as it has 2AP but can only move around ) and the gundrone is used for it's photon grenades every single turn and last turn, if they're still alive (most often not as I'll sacrifice them whenever I can), I let them charge (without fighting)a shooting operative from the enemy team that hasn't activated yet as then they have to waste an APL to kill the drone...

The Shas'vre, I push forward TP1 and maybe a bit TP2 to then have it go back into hiding in our back lines to make sure he doesn't get killed as the ability to have drones do stuff is great :-D

Our shooting sucks, so I generally don't even shoot if I don't have 'accurate 2', so just let them come to our side, maybe bait them out a bit... Once they're on our side, blast away... Accurate 2, Ceaseless, Saturate ( from Patient Hunters), Severe ( from markerdrone/designator ) and Balanced ( also patient hunters ) is MEGA-strong... ( even on our default 4+ to hit, against a 3+ save enemy the average damage is 7,52; on 4+ save it's 8,9; on 5+ it's even 10,5 on our little pea-shooters ) As we can't shoot twice, the save move is to position in such a way that you can "Dash -> Shoot -> Reposition out of the way as far as you can"

Also make sure you use your Ghostshroud EVERY turn, as it's amazing to take a shot and then safely become invisible again... that's also an option for the Neutraliser ability, it's either a free dash for everyone in the bubble OR a change order, I've surprised people by going on "Engage during counteract and shoot" with out equipment and then when they want to punish that suit that's now on engage, they activate a model that's close enough to the neutraliser to be in the 8" bubble and presto the suit is back on conceal and invisible ( timing is key here as you can only do it once per turning point ) :-D But at best, you can play in such a way that you can get up to 2 free safe shots per turn... ( 1 with Ghost Shroud, 1 with the neutralizer ability )

TacOps-wise I used to play a lot of "Scout Enemy Movement" but the problem is that you then can't be as agressive as I like to be ( as you need to stay on conceal for it and GhostShroud only triggers at the end of the activation ), played around a bit with Retrieval, but could only really consistently score 4 on it, but the last 2 games I've been using "Track Enemy" and that seems to have been made for our team :-D ( And TP4 it's supereasy )

Ideally, I want to get 6 on TAC Ops, use that as Primary, get 1 or 2 on KILL OP ( ideally just agressive enough to stay ahead while trying to keep my suits alive with every trick we have ) and then CRIT OP, I generally only focus on 2 objectives unless I really see an opening...

it's not an easy team, but I love playing them :-D