Muslims just need to pay very close attention top the fundemental differences between the Gospel and the Quran. Obviously we don't follow the same God.
Obviously I dont know what type of muslims you been talking to that say Christians ( who believe that Jesus is G-D) worship the same G-D as them.
[109] Say: O you the disbelievers(al-kaafiroon)!
[109] I worship not that which ye worship,
[109] Nor will ye worship that which I worship.
[109] And I will not worship that which ye have been wont to worship,
[109] Nor will ye worship that which I worship.
[109] To you be your Way, and to me mine.
Indeed the dibelievers are those who have said: " Verily Allah (G-D) is the third of three " while there is not a single God except One God. If they desist not from their saying verily a grievous penalty will befall the disbelievers among them.
O People of the Book! commit no excesses in your religion: nor say of Allah aught but the truth. Al-Masih 'Isa the son of Maryam was (no more than) A Messenger of Allah, and His Word, which He bestowed on Maryam, and a Spirit proceeding from Him: so believe in Allah and His Messengers. Say not "Three": desist: it will be better for you: for Allah is One God: Glory be to Him: He is above having a son. To Him belong all things in the heavens and on earth. And enough is Allah as a Disposer of affairs.
Indeed the disbelievers are those who say: "Verily Allah (G-D), He is the Messiah.....
The Jews call 'Uzair a son of Allah, and the Christians call The Messiah the son of Allah. That is a saying from their mouth; (in this) they but imitate what the disbelievers of old used to say. Allah's curse be on them: how they are deluded away from the Truth!
The Christians that believe that Jesus is G-D are disbelievers in which we do not worship the same G-D.
Jews dont worship Jesus and they Reject him altogether, if you ask a Jew is Jesus G-D he will say the same thing , No. So does the Jew worship what you worship ?