I presume your examples are exaggerated. A simple delay line on the leading signal(s) should sync everything. A box like this should do the trick. Bear in mind you could end up with up to 2 on each source. That could get expensive very quickly.

We used to use them to time in bits of analogue kit in studios that didn't have enough internal adjustment. Since everything went SDI and framesyncs got cheaper it's less of an issue.

Of course dialling in delay will soften the picture. There's very little consumer HD component kit in the UK thank goodness.