My simplistic understanding on this issue is as follows:
Brutish attempts to send organised “missions” to areas which specifically target Jewish or Muslim peoples are likely to enflame tensions between the Christian and Jewish or Muslim populations in those areas.
The goal of Eccuminism seeks to foster a spirit of mutual understanding, respect and co-operation between various faith groups - especially between the different ecclisial groups of Christians, but also between Christians and other religions. In the case of Judaism and Islam, we should first acknowledged that we are all “Children of Abraham”, adn in common with the Jews we are all “Children of Israel” - the Jews by direct blood descent, and we Christians, mostly, by adoption.
However that does not relieve us as christians from the obligation to spread the good news to all men / the whole world. as defined in the “great commission”: to “Baptise them in the name of the Father, the Son, and the Holy Spirit.”
Yes all world faiths seek to understand Devine Truth, and most have some valuable aspect of that Truth. But only Catholicism has the Fullness of Truth. All other religions lack that fullness to a greater or lesser degree.
In respect of the Jews: the bible both in the old and new testament points out that The Law is not able to save you, as it is not possible to keep the whole of the Law. Furthermore, it is not possible to even approach The Law in the absence of a Temple… and the last time the Jews tried to rebuild the Temple their efforts were demolished by a series of earthquakes, which they themselves accepted as a signal from God that it was not His Will for that to happen.
I don’t know much about Islam, but their understanding of God differs greatly from ours. As we know without any doubt that Salvation comes Only through Christ, then who are you to demand that we do not attempt to reach out to them and show them the Fullness of the Truth?