Though I usually avoid the 'mandative subjunctive'
- We insist that he pay for his crimes
- We demand that he be punished
- The tour guide recommends that each child keep close to his or her parents
(I'm a Brit), preferring say the indicative
- We insist that he pays for his crimes
- We demand that he is / he's punished
- The tour guide recommends that each child keeps close to his or her parents
or the periphrastic should construction
- We insist that he should pay for his crimes
- We demand that he should be punished
- The tour guide recommends that each child should keep close to his or her parents
in the example above I'm not at all keen on the use of the (present simple) indicative. The setting in the past makes it untenable ('even if he had to yield to the demand that he faces the local media'). The past simple can also be used as an (indicative) alternative to the mandative subjunctive, as Tim kindly points out, and here it would give
- He made the best use of the opportunity that presented itself, even if he [did have] to yield to the demand that he faced the local media.
I'd use periphrastic should (my usual choice, always acceptable to all [if a little formal] and best at disambiguating) here:
- He made the best use of the opportunity that presented itself, even if he had to yield to the demand that he faces the local media.
I'd say the original is unacceptable, though
- He has made the best use of the opportunity that has presented itself, even if he does have to yield to the demand that he faces the local media.
would not cause me to reach for a red (correcting) pen.
The general acceptability of using the indicative where many prefer the 'mandative subjunctive' has been discussed several times on ELU, for instance at What is the subjunctive mood? In general, it would be fair that opinion on acceptability is divided, many in the US requiring the subjunctive, while many in the UK feel it often sounds stilted.