Prayers are composed with different attitudes, and reference different Scriptures.
I am certainly not paskening here, but it is essentially a sectarian prayer, and gives credence to that religion. What is the motivation in saying it? Breaking down boundaries in this area is surely a slippery slope, when dealing with a religion that actively wishes to convert Jews. So it is, at the least, a very bad idea.
One could pick apart various parts of this prayer. For example, "forgive us our trespasses, as we forgive those who trespass against us". This seems akin to Jesus saying "judge not, lest ye be judged." But there are places this applies and where it does not. The gemara in Bava Kamma 50a states “Kol HaOmer HKB”H Vatran Hu, Yevatru Chaiyav”, “Anyone who says Hashem is a pushover, Hashem will push over his life”.
"But deliver us from evil" is translated in Matthew 6:13 as alternatively "from the Evil one". Catholic doctrine, as affirmed by the Pope (from what I recall from a shiur by Rabbi Tendler, when the Pope made this statement) considers Satan to be a separate power wholly apart from God and His influence. This is a problem of shtei reshuyot, and the reference to the Evil One may then be one of avoda zarah.
Why go looking for trouble? But again, consult your local Orthodox rabbi.