All my ships that aren't used for trade or mining use bi-weaves backed up by SB or two, while my combat ships also have several SCBs and/or GSBs (I aim for about 800-1k MJs total with the GSBs on medium combat ships, at least 1.5k on larges).
Getting focused by several ships, typically Spec Ops, is the only real threat to a PvE bi-weave build.
For Spec Ops, don't target the alpha first as every other Spec Ops will then focus you . Instead you kill the wingmates first in a series of 1v1s, leaving the alpha for last.
If the alpha is already shooting you, don't shoot back at it (even a single MC round or pulse laser shot will trigger it). Fly over to the nearest group of friendlies and kill whatever they're shooting at. At least one friendly will probably then target the alpha, meaning it'll switch targets, freeing you to take out the other Spec Ops without being focused.